1 citations · 1 across the 3 of their papers we have counts for
6 papers
Schubert varieties and free braidedness
R. M. Green, J. Losonczy
We give a simple necessary and sufficient condition for a Schubert variety to be smooth when is a freely braided element of a simply laced Weyl group; such elements were…
Freely braided elements in Coxeter groups, II
R. M. Green, J. Losonczy
We continue the study of freely braided elements of simply laced Coxeter groups, which we introduced in a previous work (math.CO/0301104). A known upper bound for the number of com…
Freely braided elements in Coxeter groups
R. M. Green, J. Losonczy
We introduce a notion of "freely braided element" for simply laced Coxeter groups. We show that an arbitrary group element has at most commutation classes of reduced…
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…
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.
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…