On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras

Petter Andreas Bergh; Will Turner

doi:10.1112/blms/bdt067

On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras

Petter Andreas Bergh, Will Turner

Mathematical Science

Research output: Contribution to journal › Article › peer-review

Abstract

We establish bounds for the representation dimension of skew group algebras and wreath products. Using this, we obtain bounds for the representation dimension of a block of a Hecke algebra of type A, in terms of the weight of the block. This includes certain blocks of group algebras of symmetric groups.

Original language	English
Pages (from-to)	43–50
Number of pages	8
Journal	Bulletin of the London Mathematical Society
Volume	46
Issue number	1
Early online date	18 Sep 2013
DOIs	https://doi.org/10.1112/blms/bdt067
Publication status	Published - Feb 2014

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William Turner
- School of Natural & Computing Sciences, Mathematical Science - Lecturer
Person: Academic

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title = "On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras",

abstract = "We establish bounds for the representation dimension of skew group algebras and wreath products. Using this, we obtain bounds for the representation dimension of a block of a Hecke algebra of type A, in terms of the weight of the block. This includes certain blocks of group algebras of symmetric groups.",

author = "Bergh, {Petter Andreas} and Will Turner",

note = "This paper grew out of a visit made by the ﬁrst author to the Department of Mathematics, University of Aberdeen, in December 2010. He would like to thank the algebra group of the department for the invitation and the hospitality.",

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On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras

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William Turner

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