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Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers - MaRDI portal

Convexity of tableau sets for type A Demazure characters (key polynomials), parabolic Catalan numbers

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zbMath1401.05308arXiv1706.03094MaRDI QIDQ4560255

Robert A. Proctor, Matthew J. Willis

Publication date: 10 December 2018

Full work available at URL: https://arxiv.org/abs/1706.03094

zbMATH Keywords

Catalan number key polynomial Demazure character pattern avoiding permutation symmetric group parabolic quotient convex integral polytope

Mathematics Subject Classification ID

Partitions of sets (05A18) Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Permutations, words, matrices (05A05) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15)

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Tamari lattices for parabolic quotients of the symmetric group ⋮ Row bounds needed to justifiably express flagged Schur functions with Gessel-Viennot determinants

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