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arXiv · 1204.6510

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

Petter Andreas Bergh·Will Turner
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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.

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Petter Andreas Bergh, Will Turner. 2012-04-29. On the representation dimension of skew group algebras, wreath products and blocks of Hecke algebras. https://doi.org/10.1112/blms%2Fbdt067

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