Polyhedral realization of Crystal bases for Generalized Kac-Moody Algebras
Abstract
In this paper, we give polyhedral realization of the crystal B(∞) of Uq-( g) for the generalized Kac-Moody algebras. As applications, we give explicit descriptions of crystals for the generalized Kac-Moody algebras of rank 2, 3 and Monster Lie algebras.
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