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math.CO2004
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…
math.CO2003
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…
math.CO2003
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…