1 citations · 2 across the 6 of their papers we have counts for
7 papers
Star reducible Coxeter groups
R. M. Green
We define ``star reducible'' Coxeter groups to be those Coxeter groups for which every fully commutative element (in the sense of Stembridge) is equivalent to a product of commutin…
Constructing cell data for diagram algebras
R. M. Green, P. P. Martin
We show how the treatment of cellularity in families of algebras arising from diagram calculi, such as Jones' Temperley--Lieb wreaths, variants on Brauer's centralizer algebras, an…
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…
Acyclic heaps of pieces, I
R. M. Green
Heaps of pieces were introduced by Viennot and have applications to algebraic combinatorics, theoretical computer science and statistical physics. In this paper, we how certain com…
Standard modules for tabular algebras
R. M. Green
We introduce cell modules for the tabular algebras defined in a previous work (math.QA/0107230); these modules are analogous to the representations arising from left Kazhdan--Luszt…