Group actions and coverings of Brauer graph algebras
journal contribution
posted on 2015-03-06, 16:08 authored by E. L. Green, Sibylle Schroll, Nicole SnashallWe 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.
Funding
This work was supported by the Leverhulme Trust through an Early Career Fellowship for the second author.
History
Citation
Glasgow Mathematical Journal, 2014, 56 (2), pp. 439-464 (26)Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- AM (Accepted Manuscript)
Published in
Glasgow Mathematical JournalPublisher
Cambridge University Press (CUP) for Glasgow Mathematical Journal Trustissn
0017-0895eissn
1469-509XCopyright date
9219Available date
2015-03-06Publisher DOI
Publisher version
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9219174&fileId=S0017089513000372Notes
2010 Mathematics Subject Classification. Primary 05E18, 16G20; Secondary 14E20, 16W50, 58E40Language
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