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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 in terms of patterns in root systems. We generalize Lakshmib…
math.RT2002
Lower bounds for Kazhdan-Lusztig polynomials from patterns
Sara Billey, Tom Braden
We give a lower bound for the value at q=1 of a Kazhdan-Lustig polynomial in a Weyl group W in terms of "patterns''. This is expressed by a "pattern map" from W to W' for any parab…