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Derived preprojective algebras and spherical twist functors.

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Τίτλος: Derived preprojective algebras and spherical twist functors.
Συγγραφείς: Mizuno, Yuya1 (AUTHOR), Yang, Dong2 (AUTHOR) yangdong@nju.edu.cn
Πηγή: Bulletin of the London Mathematical Society. Sep2025, Vol. 57 Issue 9, p2799-2815. 17p.
Θεματικοί όροι: *Braid group (Knot theory), *Mutations (Algebra), *Functor theory, *Isomorphism (Mathematics), *Dynkin diagrams, *Directed acyclic graphs
Περίληψη: We study silting objects over derived preprojective algebras of acyclic quivers by giving a direct relationship between silting objects, spherical twist functors, and mutations. Especially for a Dynkin quiver, we establish a bijection between the elements of the braid group and the set of isomorphism classes of basic silting objects over the derived preprojective algebra. [ABSTRACT FROM AUTHOR]
Βάση Δεδομένων: Academic Search Index
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  Data: Derived preprojective algebras and spherical twist functors.
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  Data: <searchLink fieldCode="AR" term="%22Mizuno%2C+Yuya%22">Mizuno, Yuya</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Yang%2C+Dong%22">Yang, Dong</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> yangdong@nju.edu.cn</i>
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  Data: <searchLink fieldCode="JN" term="%22Bulletin+of+the+London+Mathematical+Society%22">Bulletin of the London Mathematical Society</searchLink>. Sep2025, Vol. 57 Issue 9, p2799-2815. 17p.
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  Group: Su
  Data: *<searchLink fieldCode="DE" term="%22Braid+group+%28Knot+theory%29%22">Braid group (Knot theory)</searchLink><br />*<searchLink fieldCode="DE" term="%22Mutations+%28Algebra%29%22">Mutations (Algebra)</searchLink><br />*<searchLink fieldCode="DE" term="%22Functor+theory%22">Functor theory</searchLink><br />*<searchLink fieldCode="DE" term="%22Isomorphism+%28Mathematics%29%22">Isomorphism (Mathematics)</searchLink><br />*<searchLink fieldCode="DE" term="%22Dynkin+diagrams%22">Dynkin diagrams</searchLink><br />*<searchLink fieldCode="DE" term="%22Directed+acyclic+graphs%22">Directed acyclic graphs</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: We study silting objects over derived preprojective algebras of acyclic quivers by giving a direct relationship between silting objects, spherical twist functors, and mutations. Especially for a Dynkin quiver, we establish a bijection between the elements of the braid group and the set of isomorphism classes of basic silting objects over the derived preprojective algebra. [ABSTRACT FROM AUTHOR]
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1112/blms.70127
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 17
        StartPage: 2799
    Subjects:
      – SubjectFull: Braid group (Knot theory)
        Type: general
      – SubjectFull: Mutations (Algebra)
        Type: general
      – SubjectFull: Functor theory
        Type: general
      – SubjectFull: Isomorphism (Mathematics)
        Type: general
      – SubjectFull: Dynkin diagrams
        Type: general
      – SubjectFull: Directed acyclic graphs
        Type: general
    Titles:
      – TitleFull: Derived preprojective algebras and spherical twist functors.
        Type: main
  BibRelationships:
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      – PersonEntity:
          Name:
            NameFull: Mizuno, Yuya
      – PersonEntity:
          Name:
            NameFull: Yang, Dong
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          Dates:
            – D: 01
              M: 09
              Text: Sep2025
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 00246093
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            – Type: volume
              Value: 57
            – Type: issue
              Value: 9
          Titles:
            – TitleFull: Bulletin of the London Mathematical Society
              Type: main
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