The Hecke algebras of type B and D and subfactors

R.C. Orellana

Vol. 199 (2001), No. 1, 137–161

DOI: 10.2140/pjm.2001.199.137

Abstract

We define a nontrivial homomorphism from the Hecke algebra of type B onto a reduced algebra of the Hecke algebra of type A at roots of unity. We use this homomorphism to describe semisimple quotients of the Hecke algebra of type B at roots of unity. Using these quotients we determine subfactors obtained from the inclusion of Hecke algebra of type A into Hecke algebras of type B. We also study intermediate subfactors related to the Hecke algebra of type D.

Milestones

Received: 20 January 1999

Revised: 27 January 2000

Published: 1 May 2001