A Wells-like exact sequence for abelian extensions of relative Rota–Baxter groups: A Wells-like exact sequence for abelian extensions of relative Rota-Baxter groups

Authors: Belwal, Pragya, Rathee, Nishant

Source: Homology, Homotopy and Applications. 27:251-273

Subject Terms: automorphism, inducibility problem, Yang-Baxter equations, extension, Mathematics - Quantum Algebra, Yang-Baxter equation, cohomology, Mathematics - Rings and Algebras, [2010]{17B38, 16T25, 81R50}, relative Rota-Baxter group, Wells exact sequence, Yang-Baxter equations and Rota-Baxter operators, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematics - Group Theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2401.14058

Deformed solutions of the Yang–Baxter equation associated to dual weak braces: Deformed solutions of the Yang-Baxter equation associated to dual weak braces

Authors: Marzia Mazzotta, Bernard Rybołowicz, Paola Stefanelli

Source: Annali di Matematica Pura ed Applicata (1923 -). 204:711-731

Subject Terms: 16T25, 81R50, 20M18, 16Y99, Yang-Baxter equations, Rings and Algebras (math.RA), weak brace, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Yang–Baxter equation, set-theoretic solution, Mathematics - Rings and Algebras, Yang–Baxter equation, Set-theoretic solution, Inverse semigroup, Clifford semigroup, Skew brace, Brace, Weak brace, Quantum groups and related algebraic methods applied to problems in quantum theory

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2304.05235
https://zbmath.org/8018091
https://doi.org/10.1007/s10231-024-01502-7
https://link.springer.com/article/10.1007/s10231-024-01502-7
https://doi.org/10.1007/s10231-024-01502-7
https://hdl.handle.net/11587/530526

Simple modules over quantized Weyl algebras at roots of unity

Authors: Snehashis Mukherjee, Sanu Bera

Source: Journal of Algebra and Its Applications. 24

Subject Terms: Semiprime p.i. rings, rings embeddable in matrices over commutative rings, skew polynomial ring, 16D60, 16D70, 16S85, 01 natural sciences, simple module, Ordinary and skew polynomial rings and semigroup rings, Mathematics - Quantum Algebra, 0103 physical sciences, polynomial identity algebra, FOS: Mathematics, Quantum Algebra (math.QA), Simple and semisimple modules, primitive rings and ideals in associative algebras, Representation Theory (math.RT), 0101 mathematics, quantized Weyl algebra, Quantum groups and related algebraic methods applied to problems in quantum theory, Ring-theoretic aspects of quantum groups, Mathematics - Representation Theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2310.04046

Curtright-Zachos supersymmetric deformations of the Virasoro algebra in quantum superspace and Bloch electron systems

Authors: Haru-Tada Sato

Source: Physics Letters B, Vol 861, Iss, Pp 139255-(2025)
Physics Letters

Subject Terms: Hom-Lie algebra, High Energy Physics - Theory, quantum superspace, Virasoro and related algebras, tight binding model, Quantum superspace, Physics, QC1-999, FOS: Physical sciences, Relativity and gravitational theory, Zeeman effect, Mathematical Physics (math-ph), Hom-Lie and related algebras, Virasoro algebra, q-deformation, High Energy Physics - Theory (hep-th), Quantum theory, Tight binding model, Noncommutative geometry in quantum theory, \(q\)-deformation, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/2411.04886
https://zbmath.org/8013383
https://doi.org/10.1016/j.physletb.2025.139255
https://doaj.org/article/dfb40600204e4ed6b9edcc0ee5f8d2f1

Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of ϱ-Minkowski: Bicrossproduct vs. twist quantum symmetries in noncommutative geometries: the case of \(\varrho\)-Minkowski

Authors: Giuseppe Fabiano, Giulia Gubitosi, Fedele Lizzi, Luca Scala, Patrizia Vitale

Source: Journal of High Energy Physics, Vol 2023, Iss 8, Pp 1-40 (2023)
Journal of High Energy Physics

Subject Terms: High Energy Physics - Theory, quantum groups, Space-Time Symmetries, Noncommutative geometry, FOS: Physical sciences, Quantum Spacetime, QC770-798, Quantum Groups, High Energy Physics - Theory (hep-th), Noncommutative geometry, Quantum Spacetime, Non-Commutative Geometry, Nuclear and particle physics. Atomic energy. Radioactivity, Mathematics - Quantum Algebra, spacetime symmetries, FOS: Mathematics, Noncommutative geometry in quantum theory, Quantum Algebra (math.QA), noncommutative geometry, Quantum groups and related algebraic methods applied to problems in quantum theory

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2305.00526
https://doaj.org/article/1bcd5df290584a30892acc68130f0692
https://hdl.handle.net/11588/949708
https://hdl.handle.net/11588/949708
https://doi.org/10.1007/JHEP08(2023)220

Algebraic Bethe Ansatz for the Open XXZ Spin Chain with Non-Diagonal Boundary Terms via $U_{\mathfrak{q}}\mathfrak{sl}_2$ Symmetry: Algebraic Bethe ansatz for the open XXZ spin chain with non-diagonal boundary terms via \(U_{\mathfrak{q}}\mathfrak{sl}_2\) symmetry

Authors: Chernyak, Dmitry, Gainutdinov, Azat M., Jacobsen, Jesper Lykke, Saleur, Hubert

Contributors: HEP, INSPIRE

Source: Symmetry, Integrability and Geometry: Methods and Applications.

Subject Terms: High Energy Physics - Theory, algebra: Temperley-Lieb, Yang-Baxter equations, non-diagonal K-matrices, quantum group: SL(2), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Fusion categories, modular tensor categories, modular functors, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, 01 natural sciences, Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.), Exactly and quasi-solvable systems arising in quantum theory, Generalized knots (virtual knots, welded knots, quandles, etc.), Temperley-Lieb algebras, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), XXZ model, 0101 mathematics, algebra: lattice, Quantum groups and related algebraic methods applied to problems in quantum theory, Exactly solvable models, Bethe ansatz, Condensed Matter - Statistical Mechanics, Mathematical Physics, quantum integrable models, Statistical Mechanics (cond-mat.stat-mech), Symmetry breaking in quantum theory, Verma modules, Verma module, symmetry: U(1), Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], boundary condition, High Energy Physics - Theory (hep-th), [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th], [PHYS.COND] Physics [physics]/Condensed Matter [cond-mat]

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2212.09696

The algebra $U^+_q$ and its alternating central extension $\mathcal U^+_q$: The algebra \(U_q^+\) and its alternating central extension \(\mathcal{U}_q^+\)

Authors: Terwilliger, Paul

Subject Terms: alternating central extension, Quantum groups (quantized enveloping algebras) and related deformations, \(q\)-Serre relations, Combinatorial aspects of algebraic geometry, 01 natural sciences, 17B37, PBW basis, Mathematics - Quantum Algebra, FOS: Mathematics, Mathematics - Combinatorics, Quantum Algebra (math.QA), Combinatorics (math.CO), 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2106.14884
https://zbmath.org/8035309
https://doi.org/10.1142/s0219498825502251

Quasi-quantum linear spaces: Quasi-quantum linear spaces.

Authors: Hua-Lin Huang, Yuping Yang

Source: Journal of Noncommutative Geometry. 9:1227-1259

Subject Terms: Hopf algebras and their applications, pointed Majid algebras, Noncommutative geometry (à la Connes), quasi-quantum groups, quasi-quantum linear spaces, 01 natural sciences, Monoidal, symmetric monoidal and braided categories, Mathematics - Quantum Algebra, FOS: Mathematics, Noncommutative geometry in quantum theory, nonassociative geometry, Quantum Algebra (math.QA), group-like elements, 0101 mathematics, skew-primitive elements, Quantum groups and related algebraic methods applied to problems in quantum theory, Ring-theoretic aspects of quantum groups

File Description: application/xml

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1661-6952&vol=9&iss=4&rank=8
http://arxiv.org/abs/1508.05454
https://www.ems-ph.org/journals/show_pdf.php?issn=1661-6952&vol=9&iss=4&rank=8
https://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=9&iss=4&rank=8

A quantum duality principle for coisotropic subgroups and Poisson quotients

Authors: CICCOLI, Nicola, GAVARINI F.

Contributors: Neda Bokan, Zoran Rakić, Mirjana Djorić, Bernd Wegner, Anatoly T. Fomenko and Julius Wess, Gavarini, F, Ciccoli, N

Source: Advances in Mathematics. 199:104-135

Subject Terms: Mathematics(all), Settore MAT/03 - GEOMETRIA, coisotropic subgroups, Poisson homogeneous space, Coisotropic subgroups, Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups, 01 natural sciences, Primary 17B37, 20G42, 58B32, Secondary 81R50, Poisson homogeneous spaces, Geometry of quantum groups, 17B37, 20G42, 58B32, 81R50, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups (quantized function algebras) and their representations, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, Settore MAT/02 - ALGEBRA, quantum groups, Hopf algebras (associative rings and algebras), quantum duality principle, Quantum group, quantum group

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Access URL: http://arxiv.org/abs/math/0603376
http://arxiv.org/abs/math/0412465
https://zbmath.org/2242278
https://doi.org/10.1016/j.aim.2005.01.009
https://core.ac.uk/display/53827738
https://www.sciencedirect.com/science/article/pii/S0001870805000356
https://www.mat.uniroma2.it/~gavarini/page-web_files/references-data/18-intro.pdf
https://www.sciencedirect.com/science/article/abs/pii/S0001870805000356
http://emis.math.tifr.res.in/proceedings/CGRT2005/Articles/cgrt07.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=1347944
http://www.sciencedirect.com/science/article/pii/S0001870805000356
https://hdl.handle.net/2108/13398
https://doi.org/10.1016/j.aim.2005.01.009
https://hdl.handle.net/2108/38883
http://www.emis.de/proceedings/CGRT2005/Articles/cgrt07.pdf
https://hdl.handle.net/11391/157802
https://hdl.handle.net/11391/107366
https://doi.org/10.1016/j.aim.2005.01.009

An infinite product formula forUq(sl(2)) dynamical coboundary element: An infinite product formula for \(U_ q(sl(2))\) dynamical coboundary element.

Authors: E. Buffenoir, Ph. Roche

Contributors: Aigle, Logiciel

Source: Journal of Physics A: Mathematical and General. 37:337-346

Subject Terms: [MATH.MATH-QA] Mathematics [math]/Quantum Algebra [math.QA], quantum Weyl group, Mathematics - Quantum Algebra, FOS: Mathematics, dynamical quantum group, Quantum Algebra (math.QA), Quantum groups (quantized enveloping algebras) and related deformations, Groups and algebras in quantum theory and relations with integrable systems, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], dynamical coboundary element, Quantum groups and related algebraic methods applied to problems in quantum theory, Infinite product formula

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0306040
http://arxiv.org/abs/math/0306040
https://hal.science/hal-00263628v1
https://hal.science/hal-00324045v1
https://doi.org/10.1088/0305-4470/37/2/005
https://arxiv.org/pdf/math/0306040
https://arxiv.org/abs/math/0306040v1
https://www.arxiv-vanity.com/papers/math/0306040/
https://inis.iaea.org/Search/search.aspx?orig_q=RN:35014409
https://arxiv.org/pdf/math/0306040
http://ui.adsabs.harvard.edu/abs/2004JPhA...37..337B/abstract

Dirac Matrices and Feynman’s Rest of the Universe: Dirac matrices and Feynman's rest of the universe

Authors: Kim, Young S., Noz, Marilyn E.

Source: Symmetry; Volume 4; Issue 4; Pages: 626-643

Subject Terms: Wigner's phase space, High Energy Physics - Theory, Feynman's rest of the universe, group generators, FOS: Physical sciences, Dirac gamma matrices, two coupled oscilators, non-canonical transformations, SL(4, r) isomorphic O(3, 3), quantum mechanics interpretation, 01 natural sciences, SL(4, 0103 physical sciences, 3), Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics, Quantum Physics, General and philosophical questions in quantum theory, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, Mathematical Physics (math-ph), Finite-dimensional groups and algebras motivated by physics and their representations, r) isomorphic O(3, \(\mathrm{SL}(4,r)\) isomorphic \(O(3,3)\), High Energy Physics - Theory (hep-th), Quantum Physics (quant-ph)

File Description: application/xml; application/pdf

Access URL: https://www.mdpi.com/2073-8994/4/4/626/pdf
http://arxiv.org/abs/1210.6251
https://www.mdpi.com/2073-8994/4/4/626/htm
https://ui.adsabs.harvard.edu/abs/2012Symm....4..626K/abstract
https://www.mdpi.com/2073-8994/4/4/626/pdf
https://dblp.uni-trier.de/db/journals/symmetry/symmetry4.html#KimN12
https://doi.org/10.3390/sym4040626

Comonoidal W*-Morita equivalence for von Neumann bialgebras: Comonoidal W\(^*\)-Morita equivalence for von Neumann bialgebras

Authors: De Commer

Contributors: Mathematics

Source: Journal of Noncommutative Geometry
Journal of Non-commutative Geometry 5, 547-571

Subject Terms: von Neumann algebraic quantum group, Morita equivalence, Mathematics - Operator Algebras, Quantizations, deformations for selfadjoint operator algebras, Quantum groups (quantized enveloping algebras) and related deformations, locally compact quantum group, 01 natural sciences, locally compact quantum groups, FOS: Mathematics, cocycle twisting, 46L65, 81R50, 0101 mathematics, Operator Algebras (math.OA), Quantum groups and related algebraic methods applied to problems in quantum theory, Ring-theoretic aspects of quantum groups

File Description: application/xml

Access URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1661-6952&vol=5&iss=4&rank=4
http://arxiv.org/abs/1004.0824
https://zbmath.org/5970191
https://doi.org/10.4171/jncg/86
https://researchportal.vub.be/en/publications/comonoidal-w-morita-equivalence-for-von-neumann-bialgebras
https://www.ems-ph.org/journals/show_pdf.php?issn=1661-6952&vol=5&iss=4&rank=4
https://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=5&iss=4&rank=4
https://biblio.vub.ac.be/vubir/comonoidal-wmorita-equivalence-for-von-neumann-bialgebras(bf0ffb39-b3f1-499f-8471-aea7cfd06252).html

Review of AdS/CFT Integrability, Chapter V.2: Dual Superconformal Symmetry: Review of AdS/CFT integrability, chapter V.2: Dual superconformal symmetry

Authors: James M. Drummond

Contributors: Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH), Université Savoie Mont Blanc (USMB Université de Savoie Université de Chambéry )-Centre National de la Recherche Scientifique (CNRS)

Source: Letters in Mathematical Physics. 99:481-505

Subject Terms: High Energy Physics - Theory, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], \(2\)-body potential quantum scattering theory, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, 81R25, 81R50, 81T13, 81T60, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Yang-Mills and other gauge theories in quantum field theory, scattering amplitudes, High Energy Physics - Theory (hep-th), Research exposition (monographs, survey articles) pertaining to quantum theory, Supersymmetric field theories in quantum mechanics, gauge theories, Wilson loops, Quantum groups and related algebraic methods applied to problems in quantum theory, extended symmetries, Spinor and twistor methods applied to problems in quantum theory

File Description: application/xml

Access URL: http://arxiv.org/pdf/1012.4002
http://arxiv.org/abs/1012.4002
https://hal.archives-ouvertes.fr/hal-01175604
http://ui.adsabs.harvard.edu/abs/2012LMaPh..99..481D/abstract
http://cds.cern.ch/record/1316446/files/arXiv:1012.4002.pdf
https://link.springer.com/content/pdf/10.1007%2Fs11005-011-0519-4.pdf
http://cds.cern.ch/record/1316446
https://link.springer.com/article/10.1007%2Fs11005-011-0519-4
https://arxiv.org/pdf/1012.4002
https://128.84.21.199/abs/1012.4002
https://arxiv.org/abs/1012.4002
http://doc.rero.ch/record/317090/files/11005_2011_Article_519.pdf

A Note on q -Deformed Two-Dimensional Yang–Mills and Open Topological Strings: A note on \(q\)-deformed two-dimensional Yang-Mills and open topological strings

Authors: Peng Zhang

Source: Communications in Theoretical Physics. 54:317-322

Subject Terms: High Energy Physics - Theory, High Energy Physics - Theory (hep-th), topological string theory, 2d Yang-Mills theory, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, Quantum groups and related algebraic methods applied to problems in quantum theory, Yang-Mills and other gauge theories in quantum field theory, OSV conjecture

File Description: application/xml

Access URL: http://arxiv.org/pdf/hep-th/0611115
http://arxiv.org/abs/hep-th/0611115
https://zbmath.org/5916417
https://doi.org/10.1088/0253-6102/54/2/22
https://ui.adsabs.harvard.edu/abs/2010CoTPh..54..317Z/abstract
https://arxiv.org/abs/hep-th/0611115
https://arxiv.org/pdf/hep-th/0611115v1

Hopf Algebras, Renormalization and Noncommutative Geometry: Hopf algebras, renormalization and noncommutative geometry

Authors: Dirk Kreimer, Alain Connes

Source: Quantum Field Theory: Perspective and Prospective ISBN: 9780792356738

Subject Terms: High Energy Physics - Theory, Noncommutative geometry (à la Connes), Mathematics - Operator Algebras, FOS: Physical sciences, 01 natural sciences, Axiomatic quantum field theory, operator algebras, Hopf algebras (associative rings and algebras), renormalization, Geometry of quantum groups, High Energy Physics - Theory (hep-th), Hopf algebras, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Noncommutative differential geometry, noncommutative geometry, 0101 mathematics, Operator Algebras (math.OA), Quantum groups and related algebraic methods applied to problems in quantum theory

File Description: application/xml

Access URL: http://arxiv.org/pdf/hep-th/9808042
http://arxiv.org/abs/hep-th/9808042
https://ui.adsabs.harvard.edu/abs/1998CMaPh.199..203C/abstract
http://cds.cern.ch/record/362017
http://cds.cern.ch/record/362017/files/9808042.pdf
https://rd.springer.com/chapter/10.1007/978-94-011-4542-8_4
https://link.springer.com/article/10.1007%2Fs002200050499
http://www.alainconnes.org/docs/ncgk.pdf
https://arxiv.org/pdf/hep-th/9808042
https://arxiv.org/abs/hep-th/9808042

Evolution equations and Lévy processes on quantum groups

Authors: Uwe Franz, René Schott

Source: Stochastic Processes and Operator Calculus on Quantum Groups ISBN: 9789048152902

Subject Terms: quantum groups, second order difference-differential operator, quantum stochastic processes, 0103 physical sciences, Wigner distributions, Appell systems, Fokker-Planck equation, Quantum groups (quantized enveloping algebras) and related deformations, Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics, braided groups, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences

File Description: application/xml

Access URL: http://ui.adsabs.harvard.edu/abs/1998JPhA...31.1395F/abstract
https://rd.springer.com/chapter/10.1007/978-94-015-9277-2_7
https://link.springer.com/chapter/10.1007%2F978-94-015-9277-2_7
http://iopscience.iop.org/article/10.1088/0305-4470/31/5/009/pdf

On the invariant distance and Green function for SU q(2): On the invariant distance and Green function for \(\text{SU}_q(2)\)

Authors: H. Ahmedov, I. H. Duru

Source: Czechoslovak Journal of Physics. 47:1069-1074

Subject Terms: Path-Integrals, non-commutative geometries, quantum symmetric space, invariant distance, Green function, 0103 physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, quantum group, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, Potentials, \(q\)-group spaces

File Description: application/xml

Access URL: https://zbmath.org/1490556
https://doi.org/10.1023/a:1021641713433
http://ui.adsabs.harvard.edu/abs/1997CzJPh..47.1069A/abstract
https://link.springer.com/article/10.1023/A:1021641713433
https://hdl.handle.net/20.500.14551/25248
https://doi.org/10.1023/A:1021641713433
https://aperta.ulakbim.gov.tr/record/103881

Constructing Dynamical Twists Over a Non-abelian Base: Constructing dynamical twists over a non-Abelian base.

Authors: Juan Martín Mombelli

Source: Applied Categorical Structures. 18:407-429

Subject Terms: 16W30, 18D10, 19D23, Hopf algebras and their applications, dynamical Yang-Baxter equation, Quantum groups (quantized enveloping algebras) and related deformations, Mathematics - Category Theory, gauge equivalence classes of dynamical twists, 01 natural sciences, Monoidal, symmetric monoidal and braided categories, finite-dimensional Hopf algebras, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), Symmetric monoidal categories, Category Theory (math.CT), Derivations, actions of Lie algebras, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory

File Description: application/xml

Access URL: http://arxiv.org/pdf/0802.1036
http://arxiv.org/abs/0802.1036
https://link.springer.com/article/10.1007/s10485-008-9173-0
https://rd.springer.com/article/10.1007/s10485-008-9173-0
https://core.ac.uk/display/1981645
https://www.arxiv-vanity.com/papers/0802.1036/
https://dblp.uni-trier.de/db/journals/acs/acs18.html#Mombelli10

Instructive History of the Quantum Inverse Scattering Method: Instructive history of the quantum inverse scattering method

Authors: L. D. Faddeev

Source: KdV ’95 ISBN: 9789401040112
Quantum Field Theory: Perspective and Prospective ISBN: 9780792356738
Fifty Years of Mathematical Physics ISBN: 9789814340953

Subject Terms: Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems, sine-Gordon equation, Inverse scattering problems in quantum theory, KdV equations (Korteweg-de Vries equations), quantized nonlinear Schrödinger equation, inverse scattering transform, 0103 physical sciences, Scattering theory for PDEs, History of quantum theory, Bethe ansatz, 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/content/pdf/10.1007%2F978-94-011-4542-8_8.pdf
https://rd.springer.com/chapter/10.1007/978-94-011-0017-5_3
https://link.springer.com/chapter/10.1007/978-94-011-0017-5_3

Colour calculus and colour quantizations

Authors: Valentin Lychagin

Source: Geometric and Algebraic Structures in Differential Equations ISBN: 9789401065658

Subject Terms: quantizations, group algebras, Lie algebras and Lie superalgebras, General topics in partial differential equations, 01 natural sciences, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Geometric quantization, Enriched categories (over closed or monoidal categories), colours, 0103 physical sciences, Derivations, actions of Lie algebras, 0101 mathematics, 10. No inequality, Quantum groups and related algebraic methods applied to problems in quantum theory, skew-symmetry, crossed products, colour calculus, 4. Education, Supermanifolds and graded manifolds, colour differential form, derivations, Partial differential equations on manifolds, differential operators, KdV equations (Korteweg-de Vries equations), Jacobi identities, monoidal categories, colour commutative algebra, colour differential operator

File Description: application/xml

Access URL: https://www.duo.uio.no/bitstream/10852/42923/1/1994-03.pdf
https://zbmath.org/824529
https://doi.org/10.1007/bf00996113
https://www.duo.uio.no/handle/10852/42923
https://www.duo.uio.no/bitstream/10852/42923/1/1994-03.pdf
https://link.springer.com/article/10.1007/BF00996113
https://rd.springer.com/chapter/10.1007/978-94-009-0179-7_12
https://link.springer.com/content/pdf/10.1007%2F978-94-009-0179-7_12.pdf