FOCK SPACE REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS AND GENERALIZED LASCOUX-LECLERC-THIBON ALGORITHM

DOI10.4134/JKMS.2008.45.4.1135zbMath1226.17010arXivmath/0208204OpenAlexW2037292584MaRDI QIDQ3526450

Seok-Jin Kang, Jae-Hoon Kwon

Publication date: 25 September 2008

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0208204

zbMATH Keywords

Fock spacequantum affine algebracrystal basisYoung wallLascoux-Leclerc-Thibon algorithm

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (12)

Crystal bases of the Fock space representations and string functions ⋮ Defect 2 spin blocks of symmetric groups and canonical basis coefficients ⋮ Representation type of finite quiver Hecke algebras of type \(A_{2\ell}^{(2)}\). ⋮ The Andrews-Olsson identity and Bessenrodt insertion algorithm on Young walls ⋮ Young walls and graded dimension formulas for finite quiver Hecke algebras of type \(A^{(2)}_{2\ell}\) and \(D^{(2)}_{\ell+1}\) ⋮ Crystal bases for the quantum queer superalgebra ⋮ Crystal bases and generalized Lascoux–Leclerc–Thibon (LLT) algorithm for the quantum affine algebra Uq(Cn(1)) ⋮ Crystal bases for quantum affine algebras and Young walls ⋮ Quantum affine algebras, combinatorics of Young walls, and global bases ⋮ Young wall realization of crystal bases for classical Lie algebras ⋮ Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux ⋮ Weight Multiplicities and Young Tableaux Through Affine Crystals

This page was built for publication: FOCK SPACE REPRESENTATIONS OF QUANTUM AFFINE ALGEBRAS AND GENERALIZED LASCOUX-LECLERC-THIBON ALGORITHM