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1 June 2009 Lower bounds for Auslander's representation dimension
Steffen Oppermann
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Duke Math. J. 148(2): 211-249 (1 June 2009). DOI: 10.1215/00127094-2009-025

Abstract

The representation dimension is an invariant introduced by Auslander to measure how far a representation infinite algebra is from being representation finite. In 2005, Rouquier gave the first examples of algebras of representation dimension greater than three. Here we give the first general method for establishing lower bounds for the representation dimension of given algebras or families of algebras. The classes of algebras for which we explicitly apply this method include (but do not restrict to) most of the previous examples of algebras of large representation dimension, for some of which the lower bound is improved to the correct value

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Steffen Oppermann. "Lower bounds for Auslander's representation dimension." Duke Math. J. 148 (2) 211 - 249, 1 June 2009. https://doi.org/10.1215/00127094-2009-025

Information

Published: 1 June 2009
First available in Project Euclid: 22 May 2009

zbMATH: 1173.16007
MathSciNet: MR2524495
Digital Object Identifier: 10.1215/00127094-2009-025

Subjects:
Primary: 16E10 , 16G10 , 18G10
Secondary: 13D05 , 16G60 , 18G20

Rights: Copyright © 2009 Duke University Press

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Vol.148 • No. 2 • 1 June 2009
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