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Crystals and Nakajima monomials for quantum generalized Kac–Moody algebras
Cited 10 time in
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Cited 11 time in Scopus
- Authors
- Issue Date
- 2008-07-15
- Publisher
- Elsevier
- Citation
- J. Algebra 319 (2008) 3732-3751
- Keywords
- Crystals ; Nakajima monomials ; Generalized Kac–Moody algebras
- Abstract
- We introduce the notion of Nakajima monomials for quantum generalized Kac–Moody algebras and construct the crystals B(∞) and B(λ) in terms of Nakajima monomials. We also give an explicit description of the Nakajima monomials in the crystals B(∞) and B(λ) for the rank 2 quantum generalized Kac–Moody algebras and for the quantum Monster algebra.
- ISSN
- 0021-8693
- Language
- English
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