A combinatorial formula for Sahi, Stokman, and Venkateswaran's generalization of Macdonald polynomials
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Publication:2671911
DOI10.1016/j.aim.2022.108440OpenAlexW3038058048WikidataQ113880969 ScholiaQ113880969MaRDI QIDQ2671911
Publication date: 3 June 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.15086
Hecke algebrasMacdonald polynomialsWhittaker functionsmetaplectic groupsalcove walkscombinatorial formulas
Symmetric functions and generalizations (05E05) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
Cites Work
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- Whittaker functions and Demazure operators
- On Iwahori-Whittaker functions for metaplectic groups
- A combinatorial formula for Macdonald polynomials
- Metaplectic forms
- Alcove walks, Hecke algebras, spherical functions, crystals and column strict tableaux.
- Weyl group multiple Dirichlet series constructed from quadratic characters
- Intertwining operators of double affine Hecke algebras
- A recursion and a combinatorial formula for Jack polynomials
- Generalized Weyl modules and nonsymmetric \(q\)-Whittaker functions
- Specializations of nonsymmetric Macdonald-Koornwinder polynomials
- Nonsymmetric Koornwinder polynomials and duality
- Double affine Hecke algebras and Macdonald's conjectures
- A new formula for weight multiplicities and characters
- Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials
- From multiline queues to Macdonald polynomials via the exclusion process
- Generalized Weyl modules, alcove paths and Macdonald polynomials
- Alcove walks and nearby cycles on affine flag manifolds.
- The metaplectic Casselman-Shalika formula
- Affine Hecke Algebras and Their Graded Version
- Double Affine Hecke Algebras and Congruence Groups
- Galleries, Hall-Littlewood polynomials, and structure constants of the spherical Hecke algebra
- A combinatorial formula for nonsymmetric Macdonald polynomials
- Constructing Weyl group multiple Dirichlet series
- A metaplectic Casselman-Shalika formula for GL<sub xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><i>r</i></sub>
- Metaplectic Demazure operators and Whittaker functions
- Integrality of two variable Kostka functions.
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