Title of article
Crystals and Nakajima monomials for quantum generalized Kac–Moody algebras
Author/Authors
Kyeonghoon Jeong، نويسنده , , Seok-Jin Kang ، نويسنده , , Jeong-Ah Kim، نويسنده , , Dong-Uy Shin، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
20
From page
3732
To page
3751
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.
Keywords
Generalized Kac–Moody algebras , Nakajima monomials , crystals
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698594
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