Canonical Bases for Hecke Algebra Quotients
R. M. Green, J. Losonczy
math.QAarXiv:math/9904045
Abstract
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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