The Ext algebra of a Brauer graph algebra

Edward L. Green; Sibylle Schroll; Nicole Snashall; Rachel Taillefer

doi:10.4171/jncg/11-2-4

JournalsjncgVol. 11, No. 2pp. 537–579

The Ext algebra of a Brauer graph algebra

Edward L. Green
Virginia Tech, Blacksburg, USA
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Sibylle Schroll
University of Leicester, UK
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Nicole Snashall
University of Leicester, UK
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Rachel Taillefer
Université Clermont Auvergne, Université Blaise Pascal, Clermont-Ferrand, France
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Abstract

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 $K_{2}$ .

Cite this article

Edward L. Green, Sibylle Schroll, Nicole Snashall, Rachel Taillefer, The Ext algebra of a Brauer graph algebra. J. Noncommut. Geom. 11 (2017), no. 2, pp. 537–579

DOI 10.4171/JNCG/11-2-4