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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…
math.QA1999
Completions of Cellular Algebras
R. M. Green
We introduce procellular algebras, so called because they are inverse limits of finite dimensional cellular algebras as defined by Graham and Lehrer. A procellular algebra is defin…