Polyhedral realization of the highest weight crystals for generalized Kac-Moody algebras

Shin, Dong-Uy

doi:10.1090/S0002-9947-08-04446-2

Polyhedral realization of the highest weight crystals for generalized Kac-Moody algebras
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by Dong-Uy Shin PDF

Trans. Amer. Math. Soc. 360 (2008), 6371-6387 Request permission

Abstract:

In this paper, we give a polyhedral realization of the highest weight crystals $B(\lambda )$ associated with the highest weight modules $V(\lambda )$ for the generalized Kac-Moody algebras. As applications, we give explicit descriptions of crystals for the generalized Kac-Moody algebras of ranks 2, 3, and Monster algebras.

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