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Generalized Reynolds ideals for non-symmetric algebras

by Bessenrodt, C., Holm, T., Zimmermann, A..

Series: 2006-12, Preprints

16G10 Representations of Artinian rings
18E30 Derived categories, triangulated categories
15A63 Quadratic and bilinear forms, inner products

We show how to extend the theory of generalized Reynolds ideals, as introduced by B. Külshammer, 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.

Generalized Reynolds ideals; Derived equivalences; Trivial extensions; Symmetric algebras