New integral representations of Whittaker functions for classical Lie groups
From MaRDI portal
Publication:2892022
DOI10.1070/RM2012v067n01ABEH004776zbMath1267.17007arXiv0705.2886WikidataQ115323266 ScholiaQ115323266MaRDI QIDQ2892022
No author found.
Publication date: 18 June 2012
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0705.2886
Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Simple, semisimple, reductive (super)algebras (17B20) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Related Items
On Baxter \({\mathcal Q}\)-operators and their arithmetic implications ⋮ Some algebraic structures in KPZ universality ⋮ Geometry of canonical bases and mirror symmetry ⋮ Discrete Whittaker processes ⋮ On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. I ⋮ On parabolic Whittaker functions. II ⋮ On a matrix element representation of the GKZ hypergeometric functions ⋮ Representation theory over tropical semifield and Langlands duality ⋮ Mellin-Barnes presentations for Whittaker wave functions ⋮ On a classical limit of \(q\)-deformed Whittaker functions ⋮ Point-to-line polymers and orthogonal Whittaker functions ⋮ Calculus of principal series Whittaker functions on \(\mathrm{SL}(n, \mathbb R)\) ⋮ A mirror symmetric solution to the quantum Toda lattice ⋮ Quantum Toda chains intertwined ⋮ Large values of cusp forms on \(\mathrm{GL}_n\) ⋮ Baxter operator and archimedean Hecke algebra ⋮ Wave functions for quantum integrable particle systems via partial confluences of multivariate hypergeometric functions ⋮ On the quantum \(\mathfrak{osp}(1|2\ell)\) Toda chain ⋮ Spin \(q\)-Whittaker polynomials and deformed quantum Toda
