Polyhedral realization of Crystal bases for Generalized Kac-Moody Algebras

Abstract

In this paper, we give polyhedral realization of the crystal $B(\infty )$ of $U_q^{-}(\mathfrak{g})$ 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 {\it Monster Lie algebras}.

20 pages

Cited by in corpus (1)

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