Polyhedral Realizations of Crystal Bases for Integrable Highest Weight Modules
Toshiki Nakashima
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 An-case and the affine A(1)n-1-case.
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