The Ext algebra of a Brauer graph algebra

2013/02/26 by Edward L Green, Sibylle Schroll, Green, Edward L +5
Mathematics · #16E05 #16E30 #16G20 #16S37 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16E05 #msc:16E30 #msc:16G20 #msc:16S37

paper · pdf · doi:10.48550/arxiv.1302.6413

Minor changes. Paper to appear in Journal of Noncommutative Geometry

arxiv created 2015/07/31 · arxiv updated 2015/08/03

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 K₂.

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