Mathematical Research Letters

Volume 6, Issue 2, March 1999 pp. 213-222.

Canonical Bases for Hecke Algebra Quotients

Authors: R.M. Green and J. Losonczy
Author institution: Lancaster University, and Long Island University

Summary: We establish the existence of an IC basis for the generalized Temperley--Lieb algebra associated to a Coxeter system of arbitrary type. We determine this basis explicitly in the case where the Coxeter system is simply laced and the algebra is finite dimensional.

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