Group actions and coverings of Brauer graph algebras

Details Group actions and coverings of Brauer graph algebras Group actions and coverings of Brauer graph algebras

2011-12-09

arxiv.org/abs/1112.2199v1

Mathematics

Representation Theory

26 pages

Scientific paper

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 Brauer graph that 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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