Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules
Quantum Algebra
2007-05-23 v2 Combinatorics
Representation Theory
Abstract
We give a general way of representing the crystal (base) corresponding to the intgrable highest weight modules of quantum Kac-Moody algebras, which is called polyhedral realizations. This is applied to describe explicitly the crystal bases of integrable highest weight modules for arbitrary rank 2 Kac-Moody algebra cases, the classical A_n-case and the affine A^{(1)}_{n-1}-case.
Cite
@article{arxiv.math/9806085,
title = {Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules},
author = {Toshiki Nakashima},
journal= {arXiv preprint arXiv:math/9806085},
year = {2007}
}
Comments
LaTeX, 27 pages, some reference is added