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ISSN 1088-6850(e) ISSN 0002-9947(p)

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

Author(s): Dong-Uy Shin
Journal: Trans. Amer. Math. Soc. 360 (2008), 6371-6387.
MSC (2000): Primary 81R50; Secondary 17B37
Posted: July 28, 2008
Originally published in:
MathSciNet review: 2434291
Retrieve article in: PDF

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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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