On a theorem of B. Keller on Yoneda algebras of simple modules

被引：0
|
作者：
Jasso, Gustavo [1 ,2 ]
机构：
[1] Lund Univ, Ctr Math Sci, Box 118, S-22100 Lund, Sweden
[2] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany
来源：
COMPTES RENDUS MATHEMATIQUE | 2024年 / 362卷
基金：
瑞典研究理事会;
关键词：
Yoneda algebras; simple modules; Nakayama algebras; A infinity-algebras;
D O I：
10.5802/crmath.655
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A theorem of Keller states that the Yoneda algebra of the simple modules over a finite-dimensional algebra is generated in cohomological degrees 0 and 1 as a minimal A infinity-algebra. We provide a proof of an extension of Keller's theorem to abelian length categories by reducing the problem to a particular class of Nakayama algebras, where the claim can be shown by direct computation.
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页数：6
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