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Crystals and Nakajima monomials for quantum generalized Kac–Moody algebras

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Authors
Kang, Seok-Jin; Jeong, Kyeonghoon; Kim, Jeong-Ah; Shin, Dong-Uy
Issue Date
2008-07-15
Publisher
Elsevier
Citation
J. Algebra 319 (2008) 3732-3751
Keywords
CrystalsNakajima monomialsGeneralized 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
URI
http://hdl.handle.net/10371/12164
DOI
https://doi.org/10.1016/j.jalgebra.2008.02.001
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Journal Papers (저널논문_수리과학부)
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