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.
CITATION STYLE
Green, R. M., & Losonczy, J. (1999). Canonical bases for Hecke algebra quotients. Mathematical Research Letters, 6(2), 213–222. https://doi.org/10.4310/MRL.1999.v6.n2.a9
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