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math.QA2001
Fully commutative Kazhdan-Lusztig cells
R. M. Green, J. Losonczy
We investigate the compatibility of the set of fully commutative elements of a Coxeter group with the various types of Kazhdan-Lusztig cells using a canonical basis for a generaliz…
math.QA1999
A projection property for Kazhdan-Lusztig bases
R. M. Green, J. Losonczy
We compare the canonical basis for a generalized Temperley-Lieb algebra of type A or B with the Kazhdan-Lusztig basis for the corresponding Hecke algebra.
math.QA1999
Canonical Bases for Hecke Algebra Quotients
R. M. Green, J. Losonczy
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 ca…