Lusztig's \(t\)-analogue of weight multiplicity via crystals
From MaRDI portal
Publication:2090733
DOI10.1007/978-3-030-63849-8_10OpenAlexW4232198680MaRDI QIDQ2090733
Cédric Lecouvey, Cristian Lenart
Publication date: 31 October 2022
Full work available at URL: https://doi.org/10.1007/978-3-030-63849-8_10
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Cluster algebras (13F60)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Affine crystals, one-dimensional sums and parabolic Lusztig \(q\)-analogues
- Characters of the nullcone
- Spherical functions and a \(q\)-analogue of Kostant's weight multiplicity formula
- The partial order of dominant weights
- Crystal bases of modified quantized enveloping algebra
- Lusztig data of Kashiwara-Nakashima tableaux in types \(B\) and \(C\)
- Kostka-Foulkes polynomials cyclage graphs and charge statistic for the root system \(C_n\)
- The lattice of integer partitions
- Crystal graphs and \(q\)-analogues of weight multiplicities for the root system \(A_ n\)
- Flagged Littlewood-Richardson tableaux and branching rule for classical groups
- Combinatorics of crystal graphs and Kostka-Foulkes polynomials for the root systems \(B_{n}\), \(C_{n}\) and \(D_{n}\)
- Geometric Langlands duality and representations of algebraic groups over commutative rings
- Generalized exponents of small representations. II
- Generalized exponents of small representations. I
- A symplectic jeu de taquin bijection between the tableaux of King and of De Concini
- Combinatorial extension of stable branching rules for classical groups
- Combinatorics of Generalized Exponents
- Lie Group Representations on Polynomial Rings
- A positive combinatorial formula for symplectic Kostka-Foulkes polynomials. I: Rows
- Atomic decomposition of characters and crystals
- Multi-atoms and monotonicity of generalized Kostka polynomials
- From moment graphs to intersection cohomology
