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.
Original language | English |
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Pages (from-to) | 3732-3751 |
Number of pages | 20 |
Journal | Journal of Algebra |
Volume | 319 |
Issue number | 9 |
DOIs | |
State | Published - 1 May 2008 |
Keywords
- Crystals
- Generalized Kac-Moody algebras
- Nakajima monomials