Canonical Bases for Hecke Algebra Quotients

Details Canonical Bases for Hecke Algebra Quotients Canonical Bases for Hecke Algebra Quotients

1999-04-11

arxiv.org/abs/math/9904045v1

Mathematics

Quantum Algebra

11 pages, AMSTeX

Scientific paper

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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