Abstract
We give new realizations of the crystal bases of the Verma modules and the irreducible highest weight modules over the quantum generalized Kac-Moody algebra Uq(A∞) and the quantum Monster algebra using Nakajima monomials. Moreover, another realization of the crystals B(∞) and B(λ) over Uq(A∞) using triangular matrices and tableaux are given.
Original language | English |
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Pages (from-to) | 890-907 |
Number of pages | 18 |
Journal | Communications in Algebra |
Volume | 38 |
Issue number | 3 |
DOIs | |
State | Published - Mar 2010 |
Keywords
- Crystals
- Nakajima monomials