Transactions of the American Mathematical Society

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
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 81R50, 17B37

Dong-Uy Shin
Affiliation: Department of Mathematics Education, Hanyang University, Seoul 133-791, Korea
Email: dushin@hanyang.ac.kr

DOI: 10.1090/S0002-9947-08-04446-2
PII: S 0002-9947(08)04446-2
Keywords: Highest weight crystals, generalized Kac-Moody algebras, Monster algebras
Received by editor(s): December 11, 2005
Received by editor(s) in revised form: November 8, 2006
Posted: July 28, 2008
Additional Notes: This research was supported by the research fund of Hanyang University (HY-2007-000-0000-5889).
Copyright of article: Copyright 2008, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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