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On abelian subcategories of triangulated categories

Linckelmann, M. (2023). On abelian subcategories of triangulated categories. Mathematische Zeitschrift, 306(1), article number 7. doi: 10.1007/s00209-023-03396-2


The stable module category of a selfinjective algebra is triangulated, but need not have any nontrivial t-structures, and in particular, full abelian subcategories need not arise as hearts of a t-structure. The purpose of this paper is to investigate full abelian subcategories of triangulated categories whose exact structures are related, and more precisely, to explore relations between invariants of finite-dimensional selfinjective algebras and full abelian subcategories of their stable module categories.

Publication Type: Article
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Publisher Keywords: Triangulated, Abelian, Stable module categories
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Mathematics
SWORD Depositor:
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