Perfect Crystals for U_q(D_4^{(3)})
Quantum Algebra
2008-11-26 v1 Representation Theory
Abstract
A perfect crystal of any level is constructed for the Kirillov-Reshetikhin module of corresponding to the middle vertex of the Dynkin diagram. The actions of Kashiwara operators are given explicitly. It is also shown that this family of perfect crystals is coherent. A uniqueness problem solved in this paper can be applied to other quantum affine algebras.
Keywords
Cite
@article{arxiv.math/0610873,
title = {Perfect Crystals for U_q(D_4^{(3)})},
author = {Masaki Kashiwara and Kailash C. Misra and Masato Okado and Daisuke Yamada},
journal= {arXiv preprint arXiv:math/0610873},
year = {2008}
}
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27 pages