Generalized Reynolds ideals for non-symmetric algebras

2006/03/08 by Christine Bessenrodt, Bessenrodt, Christine, Thorsten Holm +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Advanced Topics in Algebra

paper · pdf · doi:10.48550/arxiv.math/0603189

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.

Related

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• Derived equivalence classification of symmetric algebras of domestic type
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• General symmetric ideals