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Crystals and Nakajima monomials for quantum generalized Kac-Moody algebrasopen access
- Issue Date
- May-2008
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- crystals; Nakajima monomials; generalized Kac-Moody algebras
- Citation
- JOURNAL OF ALGEBRA, v.319, no.9, pp.3732 - 3751
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF ALGEBRA
- Volume
- 319
- Number
- 9
- Start Page
- 3732
- End Page
- 3751
- ISSN
- 0021-8693
- Abstract
- We introduce the notion of Nakajima monomials for quantum generalized Kac-Moody algebras and construct the crystals B(infinity) and B(lambda) in terms of Nakajima monomials. We also give an explicit description of the Nakajima monomials in the crystals B(infinity) and B(lambda) for the rank 2 quantum generalized Kac-Moody algebras and for the quantum Monster algebra.
- Appears in
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Related Researcher
- Shin, Dong Uy
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)