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Interval Pattern Avoidance for Arbitrary Root Systems
Published online by Cambridge University Press: 20 November 2018
Abstract
We extend the idea of interval pattern avoidance defined by Yong and the author for ${{S}_{n}}$ to arbitrary Weyl groups using the definition of pattern avoidance due to Billey and Braden, and Billey and Postnikov. We show that, as previously shown by Yong and the author for $\text{G}{{\text{L}}_{n}}$, interval pattern avoidance is a universal tool for characterizing which Schubert varieties have certain local properties, and where these local properties hold.
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- Research Article
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- Copyright © Canadian Mathematical Society 2010
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