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Polyhedral realization of crystal bases for generalized Kac-Moody algebrasopen access
- Authors
- Shin, Dong-Uy
- Issue Date
- Apr-2008
- Publisher
- WILEY
- Citation
- JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v.77, pp.273 - 286
- Indexed
- SCIE
SCOPUS
- Volume
- 77
- Start Page
- 273
- End Page
- 286
- ISSN
- 0024-6107
- Abstract
- In this paper, we give a polyhedral realization of the crystal B (infinity) of U-q(-) (g) for the generalized Kac-Moody algebras. As applications, we give explicit descriptions of crystals for the generalized Kac-Moody algebras of rank 2 and 3, and Monster Lie algebras.
- Appears in
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Related Researcher
- Shin, Dong Uy
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)