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math.CO2011
Some combinatorial models for reduced expressions in Coxeter groups
Hugh Denoncourt
Stanley's formula for the number of reduced expressions of a permutation regarded as a Coxeter group element raises the question of how to enumerate the reduced expressions of an a…
math.CO2011★ 1 cited
A refinement of weak order intervals into distributive lattices
Hugh Denoncourt
In this paper we consider arbitrary intervals in the left weak order on the symmetric group . We show that the Lehmer codes of permutations in an interval form a distributive…