Authors: Susumu Ariki and Andrew Mathas.
Addresses:   
  \sc S.A. & \sc Tokyo University of Mercantile Marine\\
       &\sc Etchujima 2-1-6, Koto-ku, Tokyo 135-8533
       Japan.\\
  \sc A.M. & \sc School of Mathematics and Statistics F07\\
       & \sc University of Sydney, Sydney NSW 2006. Australia.\\
             www.maths.usyd.edu.au/u/mathas

Title: The representation type of Hecke algebras of type $B$
Status: Submitted.

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.