English

The representation dimension of Hecke algebras and symmetric groups

Representation Theory 2010-11-17 v1 Rings and Algebras

Abstract

We establish a lower bound for the representation dimension of all the classical Hecke algebras of types A, B and D. For all the type A algebras, and most of the algebras of types B and D, we also establish upper bounds. Moreover, we establish bounds for the representation dimension of group algebras of some symmetric groups.

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Cite

@article{arxiv.1011.3740,
  title  = {The representation dimension of Hecke algebras and symmetric groups},
  author = {Petter Andreas Bergh and Karin Erdmann},
  journal= {arXiv preprint arXiv:1011.3740},
  year   = {2010}
}

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16 pages