Path Model for a Level Zero Extremal Weight Module over a Quantum Affine Algebra
Quantum Algebra
2007-05-23 v2 Representation Theory
Abstract
We give a path model for a level zero extremal weight module over a quantum affine algebra. By using this result, we prove a branching rule for an extremal weight module with respect to a Levi subalgebra. Furthermore, we also show a decomposition rule of Littelmann type for the concatenation of path models for an integrable highest weight module and a level zero extremal weight module in the case where the extremal weight is minuscule.
Cite
@article{arxiv.math/0210450,
title = {Path Model for a Level Zero Extremal Weight Module over a Quantum Affine Algebra},
author = {Satoshi Naito and Daisuke Sagaki},
journal= {arXiv preprint arXiv:math/0210450},
year = {2007}
}