Sara C. Billey

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20002003

most citedA vector partition function for the multiplicities of sl_k(C)

13 citations · 13 across the 1 of their papers we have counts for

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math.CO2003★ 13 cited

A vector partition function for the multiplicities of sl_k(C)

Sara Billey, Victor Guillemin, Etienne Rassart

We use Gelfand-Tsetlin diagrams to write down the weight multiplicity function for the Lie algebra sl_k(C) (type A_{k-1}) as a single partition function. This allows us to apply kn…

math.CO2002

Smoothness of Schubert varieties via patterns in root systems

Sara Billey, Alexander Postnikov

The aim of this article is to present a smoothness criterion for Schubert varieties in generalized flag manifolds $G / B$ in terms of patterns in root systems. We generalize Lakshmib…

math.CO2000

Kazhdan-Lusztig polynomials for 321-hexagon-avoiding permutations

Sara C. Billey, Gregory S. Warrington

We give a combinatorial formula for the Kazhdan-Lusztig polynomials $P_{x, w}$ in the symmetric group when $w$ is a 321-hexagon-avoiding permutation. Our formula, which depends on a…