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The Ext algebra of a Brauer graph algebra

journal contribution
posted on 2015-03-09, 09:37 authored by Edward L. Green, Sibylle Schroll, Nicole Snashall, Rachel Taillefer
In this paper we study finite generation of the Ext algebra of a Brauer graph algebra by determining the degrees of the generators. As a consequence we characterize the Brauer graph algebras that are Koszul and those that are K2.

Funding

This work was supported by the Leverhulme Trust in the form of an Early Career Fellowship for the second author. The third author wishes to thank the University of Leicester for granting study leave. The third and fourth authors would like to thank the Université Blaise Pascal (Clermont-Ferrand 2) for a month of invited professorship, during which part of this collaboration took place.

History

Citation

Journal of Noncommutative Geometry, 2017, 11, pp. 537-579.

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Mathematics

Version

  • AM (Accepted Manuscript)

Published in

Journal of Noncommutative Geometry

Publisher

European Mathematical Society

issn

1661-6952

eissn

1661-6960

Copyright date

2017

Available date

2015-03-09

Publisher version

http://www.ems-ph.org/journals/show_abstract.php?issn=1661-6952&vol=11&iss=2&rank=4

Notes

2010 Mathematics Subject Classification. 16G20, 16S37, 16E05, 16E30

Language

en

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