Parabolic Catalan numbers count flagged Schur functions and their appearances as type A Demazure characters (key polynomials)

zbMath1401.05312arXiv1706.04649MaRDI QIDQ4560216

Robert A. Proctor, Matthew J. Willis

Publication date: 10 December 2018

Full work available at URL: https://arxiv.org/abs/1706.04649

zbMATH Keywords

Catalan numberkey polynomialDemazure characterpattern avoiding permutationflagged Schur functionsymmetric group parabolic quotient

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15) Symmetric groups (20B30)

Related Items (2)

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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