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Polyhedral realization of the highest weight crystals for generalized Kac-Moody algebrasopen access
- Authors
- Shin, Dong-Uy
- Issue Date
- Dec-2008
- Publisher
- AMER MATHEMATICAL SOC
- Keywords
- highest weight crystals; generalized Kac-Moody algebras; Monster algebras
- Citation
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.360, no.12, pp.6371 - 6387
- Indexed
- SCIE
SCOPUS
- Journal Title
- TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
- Volume
- 360
- Number
- 12
- Start Page
- 6371
- End Page
- 6387
- ISSN
- 0002-9947
- 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.
- Appears in
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Related Researcher
- Shin, Dong Uy
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)