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Generalized Reynolds ideals for non-symmetric algebras

Christine Bessenrodt·Thorsten Holm·Alexander Zimmermann
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Abstract

We show how to extend the theory of generalized Reynolds ideals, as introduced by B. K"ulshammer, from symmetric algebras to arbitrary finite-dimensional algebras (in positive characteristic). This provides new invariants of the derived module categories of finite-dimensional algebras, extending recent results by the third author for symmetric algebras.

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BibTeXRIS

Christine Bessenrodt, Thorsten Holm, Alexander Zimmermann. 2006-03-08. Generalized Reynolds ideals for non-symmetric algebras. https://arxiv.org/abs/math/0603189

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