English

Generalized Reynolds ideals for non-symmetric algebras

Representation Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0603189,
  title  = {Generalized Reynolds ideals for non-symmetric algebras},
  author = {Christine Bessenrodt and Thorsten Holm and Alexander Zimmermann},
  journal= {arXiv preprint arXiv:math/0603189},
  year   = {2007}
}

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9 pages