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Crystals and Nakajima monomials for quantum generalized Kac–Moody algebras

Cited 10 time in Web of Science Cited 11 time in Scopus
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
https://hdl.handle.net/10371/12164
DOI
https://doi.org/10.1016/j.jalgebra.2008.02.001
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