The representation type of Hecke algebras of type B

Susumu Ariki, Andrew Mathas

Published 2001-06-22, updated 2002-11-10Version 4

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.