The Representation Dimension of a Selfinjective Algebra of Euclidean Type

2015/10/21 by Ibrahim Assem, Assem, Ibrahim, Andrzej Skowroński +3 · 1 citation
Mathematics · #16G20 #16G60 #16G70 #18G20 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:16G20 #msc:16G60 #msc:16G70 #msc:18G20

paper · pdf · doi:10.48550/arxiv.1510.06443

21 pages, 1 figure

arxiv created 2015/10/21 · arxiv updated 2015/10/23

Abstract

We prove that the representation dimension of a selfinjective algebra of euclidean type is equal to three, and give an explicit construction of the Auslander generator of its module category.

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• Algebras determined by τ-slices

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