The representation type of Hecke algebras of type B

Details The representation type of Hecke algebras of type B The representation type of Hecke algebras of type B

2001-06-22

arxiv.org/abs/math/0106185v4

Mathematics

Representation Theory

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

Scientific paper

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.

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