Hecke modules from metaplectic ice

DOI10.1007/s00029-017-0372-0zbMath1466.20002arXiv1704.00701OpenAlexW2963361213MaRDI QIDQ1652903

Daniel Bump, Solomon Friedberg, Valentin Buciumas, Benjamin Brubaker

Publication date: 16 July 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.00701

zbMATH Keywords

quantum groupHecke algebraR-matrixmetaplectic groupWhittaker function

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Quantum groups (quantized function algebras) and their representations (20G42) Representations of Lie and linear algebraic groups over local fields (22E50) Ring-theoretic aspects of quantum groups (16T20) Yang-Baxter equations (16T25) Dirichlet series in several complex variables associated to automorphic forms; Weyl group multiple Dirichlet series (11F68)

Related Items (13)

Scalar products of the elliptic Felderhof model and elliptic Cauchy formula ⋮ Hecke modules from metaplectic ice ⋮ On the third moment of \(L(\frac{1}{2}, \chi_d)\). I: The rational function field case ⋮ Vertex operators, solvable lattice models and metaplectic Whittaker functions ⋮ On Shahidi local coefficients matrix ⋮ Dual wavefunction of the symplectic ice ⋮ Crystals from 5-vertex ice models ⋮ Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials ⋮ Free field approach to the Macdonald process ⋮ Quantum inverse scattering method and generalizations of symplectic Schur functions and Whittaker functions ⋮ Casselman’s Basis of Iwahori Vectors and Kazhdan–Lusztig Polynomials ⋮ On the Hecke-algebraic approach for general linear groups over a \(p\)-adic field ⋮ Local Coefficients and Gamma Factors for Principal Series of Covering Groups

Uses Software

• GL(n)pack

Cites Work

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