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.

arXiv comment8 pages

References in corpus (3)

• Support varieties for selfinjective algebras
• Derived equivalences for symmetric groups and sl\_2-categorification
• The representation dimension of Hecke algebras and symmetric groups