February 21, 2024Open Access

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

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Abstract

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_-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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Gustavo Jasso (Wed,) studied this question.

synapsesocial.com/papers/68e785a2b6db6435876f7fb8 https://doi.org/https://doi.org/10.48550/arxiv.2402.14004

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