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arXiv · 1112.2199

Group actions and coverings of Brauer graph algebras

Edward L Green·Sibylle Schroll·Nicole Snashall
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Abstract

We develop a theory of group actions and coverings on Brauer graphs that parallels the theory of group actions and coverings of algebras. In particular, we show that any Brauer graph can be covered by a tower of coverings of Brauer graphs such that the topmost covering has multiplicity function identically one, no loops, and no multiple edges. Furthermore, we classify the coverings of Brauer graph algebras that are again Brauer graph algebras.

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BibTeXRIS

Edward L Green, Sibylle Schroll, Nicole Snashall. 2012-11-30. Group actions and coverings of Brauer graph algebras. https://arxiv.org/abs/1112.2199

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