Affine Geometric Crystals and Limit of Perfect Crystals
Quantum Algebra
2007-05-23 v1 Representation Theory
Abstract
For every non-exceptional affine Lie algebra, we explicitly construct a positive geometric crystal associated with a fundamental representation. We also show that its ultra-discretization is isomorphic to the limit of certain perfect crystals of the Langlands dual affine Lie algebra.
Keywords
Cite
@article{arxiv.math/0512657,
title = {Affine Geometric Crystals and Limit of Perfect Crystals},
author = {Masaki Kashiwara and Toshiki Nakashima and Masato Okado},
journal= {arXiv preprint arXiv:math/0512657},
year = {2007}
}
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46 pages