Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
We describe the crystal bases of modified quantum algebras and its connected component containing ``zero vector''by the polyhedral realization method for the types A_n and A^(1)_1. We also present the explicit form of the unique highest weight vector in the connected component.
Keywords
Cite
@article{arxiv.math/0401087,
title = {Polyhedral Realizations of Crystal Bases for Modified Quantum Algebras of Type A},
author = {Ayumu Hoshino and Toshiki Nakashima},
journal= {arXiv preprint arXiv:math/0401087},
year = {2007}
}
Comments
22 pages, LaTeX