S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Journal Papers (저널논문_수리과학부)
Crystals and Nakajima monomials for quantum generalized Kac–Moody algebras
- Kang, Seok-Jin; Jeong, Kyeonghoon; Kim, Jeong-Ah; Shin, Dong-Uy
- Issue Date
- J. Algebra 319 (2008) 3732-3751
- 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.
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