Duality theorems for current groups
DOI10.1007/s11856-022-2306-6zbMath1493.22019arXiv1906.03290OpenAlexW4226103679WikidataQ113899776 ScholiaQ113899776MaRDI QIDQ2142715
Ievgen Makedonskyi, Evgeny Feigin, A. S. Khoroshkin
Publication date: 27 May 2022
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.03290
Schur polynomials\(q\)-Whittaker functionsHowe dualityPeter-Weyl theoremCauchy identitycurrent groupsSchur-Weyl theorem
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Linear algebraic groups over the reals, the complexes, the quaternions (20G20)
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Cites Work
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- An application of global Weyl modules of \(\mathfrak{sl}_{n+1}[t\) to invariant theory]
- On a classical limit of \(q\)-deformed Whittaker functions
- Character formulae and a realization of tilting modules for \(\mathfrak{sl}_2 [t\)]
- On some families of modules for the current algebra
- On \(q\)-deformed \(\mathfrak{gl}_{\ell+1}\)-Whittaker function. III
- A categorical approach to Weyl modules
- On \(q\)-deformed \({\mathfrak{gl}_{\ell+1}}\)-Whittaker function. I
- Weyl modules, Demazure modules and finite crystals for non-simply laced type
- Crystal bases and two-sided cells of quantum affine algebras
- Weyl, Demazure and fusion modules for the current algebra of \(\mathfrak{sl}_{r+1}\)
- Weyl modules, Demazure modules, KR-modules, crystals, fusion products and limit constructions
- Dynamics of the Calogero-Moser system and the reduction of hyperelliptic integrals of elliptic integrals
- On the connection between Macdonald polynomials and Demazure characters
- Generalized Weyl modules and nonsymmetric \(q\)-Whittaker functions
- Kac-Moody groups, their flag varieties and representation theory
- Nonsymmetric Macdonald polynomials and Demazure characters.
- Spin \(q\)-Whittaker polynomials
- Weyl modules and \(q\)-Whittaker functions
- Quantum affine algebras and affine Hecke algebras
- Integrable probability: from representation theory to MacDonald processes
- Macdonald processes
- Macdonald polynomials and BGG reciprocity for current algebras
- Homological properties of finite-type Khovanov-Lauda-Rouquier algebras.
- Algebraic group schemes in characteristic zero are reduced
- An algebraic study of extension algebras
- Symmetry, Representations, and Invariants
- Whittaker Limits of Difference Spherical Functions
- Correlation function of Schur process with application to local geometry of a random 3-dimensional Young diagram
- Semi-infinite Plücker Relations and Weyl Modules
- Conformal Blocks, Generalized Theta Functions and the Verlinde Formula
- Affine highest weight categories and affine quasihereditary algebras
- Twisted zastava and q-Whittaker functions
- Tensor Product Structure of Affine Demazure Modules and Limit Constructions
- BGG reciprocity for current algebras
- Lie groups beyond an introduction
- Infinite wedge and random partitions
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