Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials
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Publication:2037128
DOI10.1007/s00029-021-00654-1OpenAlexW3171986426MaRDI QIDQ2037128
Publication date: 30 June 2021
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.01069
Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of Lie and linear algebraic groups over local fields (22E50) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
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Cites Work
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- Whittaker functions and Demazure operators
- Whittaker coefficients of metaplectic Eisenstein series
- On Iwahori-Whittaker functions for metaplectic groups
- Weyl group multiple Dirichlet series, Eisenstein series and crystal bases
- Intertwining operators and Hecke algebras with parameters from a reductive \(p\)-adic group: The case of the classical groups.
- Metaplectic forms
- Weyl group multiple Dirichlet series constructed from quadratic characters
- Intertwining operators of double affine Hecke algebras
- Some characterizations of Bruhat ordering on a Coxeter group and determination of the relation Möbius function
- A recursion and a combinatorial formula for Jack polynomials
- Orthogonal polynomials associated with root systems
- Hecke modules from metaplectic ice
- Nonsymmetric Koornwinder polynomials and duality
- Vertex operators, solvable lattice models and metaplectic Whittaker functions
- Connection problems for quantum affine KZ equations and integrable lattice models
- A Yang-Baxter equation for metaplectic ice
- Weyl group multiple Dirichlet series. II: The stable case
- The metaplectic Casselman-Shalika formula
- Affine Hecke Algebras and Their Graded Version
- A combinatorial formula for nonsymmetric Macdonald polynomials
- On the p-parts of quadratic Weyl group multiple Dirichlet series
- Constructing Weyl group multiple Dirichlet series
- Smooth representations of reductive p -ADIC groups: structure theory via types
- Introduction: 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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