The representation type of Hecke algebras of type B

Abstract

This paper determines the representation type of the Iwahori-Hecke algebras of type B when $q\ne \pm 1$. 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 Poincaré polynomial, confirming a conjecture of Uno's.

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