Nonsymmetric Macdonald polynomials and PBW filtration: towards the proof of the Cherednik-Orr conjecture

DOI10.1016/j.jcta.2015.04.003zbMath1319.05141arXiv1407.6316OpenAlexW345374278WikidataQ122957640 ScholiaQ122957640MaRDI QIDQ491965

Ievgen Makedonskyi, Evgeny Feigin

Publication date: 19 August 2015

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6316

zbMATH Keywords

Macdonald polynomialsPBW filtrationDemazure modules

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)

Related Items (10)

Generalized Weyl modules, alcove paths and Macdonald polynomials ⋮ PBW degenerations, quiver Grassmannians, and toric varieties ⋮ PBW-degenerated Demazure modules and Schubert varieties for triangular elements ⋮ PBW-type filtration on quantum groups of type \(A_{n}\) ⋮ Generalized Weyl modules for twisted current algebras ⋮ Borel-de Siebenthal pairs, global Weyl modules and Stanley-Reisner rings ⋮ PBW degeneration: algebra, geometry, and combinatorics ⋮ Properties of non-symmetric Macdonald polynomials at \(q=1\) and \(q=0\) ⋮ Minuscule Schubert varieties: poset polytopes, PBW-degenerated Demazure modules, and Kogan faces ⋮ Nonsymmetric difference Whittaker functions

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