Representation-theoretic interpretation of Cherednik-Orr's recursion formula for the specialization of nonsymmetric Macdonald polynomials at \(t = \infty\)
From MaRDI portal
Publication:2416409
DOI10.1007/s00031-017-9467-0zbMath1462.17020OpenAlexW2769441734MaRDI QIDQ2416409
Daisuke Sagaki, Satoshi Naito, Fumihiko Nomoto
Publication date: 23 May 2019
Published in: Transformation Groups (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00031-017-9467-0
Combinatorial aspects of representation theory (05E10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
Related Items
Positive Level, Negative Level and Level Zero ⋮ Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at \(t=\infty\) ⋮ Nonsymmetric Rogers-Ramanujan sums and thick Demazure modules ⋮ Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A combinatorial formula for Macdonald polynomials
- Path model for a level-zero extremal weight module over a quantum affine algebra. II
- A Littlewood-Richardson rule for symmetrizable Kac-Moody algebras
- A uniform model for Kirillov-Reshetikhin crystals. III: Nonsymmetric Macdonald polynomials at \(t = 0\) and Demazure characters
- Nonsymmetric Macdonald polynomials and Demazure characters.
- Paths and root operators in representation theory
- Nonsymmetric difference Whittaker functions
- Specialization of nonsymmetric Macdonald polynomials at 𝑡=∞ and Demazure submodules of level-zero extremal weight modules
- Quantum Lakshmibai-Seshadri paths and root operators
- Quantum Bruhat graph and Schubert polynomials
- A Uniform Model for Kirillov-Reshetikhin Crystals I: Lifting the Parabolic Quantum Bruhat Graph
