Finite-Dimensional Crystals B^{2,s} for Quantum Affine Algebras of type D_{n}^{(1)}
Quantum Algebra
2007-10-08 v2 Combinatorics
Abstract
The Kirillov--Reshetikhin modules W^{r,s} are finite-dimensional representations of quantum affine algebras U'_q(g), labeled by a Dynkin node r of the affine Kac--Moody algebra g and a positive integer s. In this paper we study the combinatorial structure of the crystal basis B^{2,s} corresponding to W^{2,s} for the algebra of type D_n^{(1)}.
Keywords
Cite
@article{arxiv.math/0408113,
title = {Finite-Dimensional Crystals B^{2,s} for Quantum Affine Algebras of type D_{n}^{(1)}},
author = {Anne Schilling and Philip Sternberg},
journal= {arXiv preprint arXiv:math/0408113},
year = {2007}
}
Comments
34 pages; final version to appear in J. Alg. Combin