Academic Journal

Derived preprojective algebras and spherical twist functors.

Λεπτομέρειες βιβλιογραφικής εγγραφής
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]
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