Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm
Quantum Algebra
2007-05-23 v1
Abstract
We construct the Fock space representations of classical quantum affine algebras using combinatorics of Young walls. We also show that the crystal graphs of the Fock space representations can be realized as the abstract crystal consisting of proper Young walls. Finally, we give a generalized version of Lascoux-Leclerc-Thibon algorithm for computing the global bases of the basic representations of classical quantum affine algebras.
Cite
@article{arxiv.math/0208204,
title = {Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm},
author = {Seok-Jin Kang and Jae-Hoon Kwon},
journal= {arXiv preprint arXiv:math/0208204},
year = {2007}
}
Comments
70 pages