The representation type of Hecke algebras of type B

Susumu Ariki; Andrew Mathas

The representation type of Hecke algebras of type B

Representation Theory 2007-05-23 v4 Quantum Algebra

Authors: Susumu Ariki , Andrew Mathas

Abstract

This paper determines the representation type of the Iwahori-Hecke algebras of type B when $q\ne\pm1$ . In particular, we show that a single parameter non-semisimple Iwahori-Hecke algebra of type B has finite representation type if and only if q is a simple root of the Poincar\'e polynomial, confirming a conjecture of Uno's.

Keywords

Iwahori-Hecke algebras type B representation type finite representation type Poincaré polynomial Uno conjecture

Cite

@article{arxiv.math/0106185,
  title  = {The representation type of Hecke algebras of type B},
  author = {Susumu Ariki and Andrew Mathas},
  journal= {arXiv preprint arXiv:math/0106185},
  year   = {2007}
}

Comments

19 pages. LaTeX2e. Requires pstricks and uses mathrsfs fonts. FINAL version

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