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Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules

Toshiki Nakashima
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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.

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BibTeXRIS

Toshiki Nakashima. 1998-07-01. Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules. https://arxiv.org/abs/math/9806085

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