Abstract
In this paper, we give a new realization of the crystal B (∞) using modified Nakajima monomials. For the quantum affine algebras of type An(1), we give an explicit characterization of the monomials in B (∞), and construct a natural crystal isomorphism between monomial realization and path realization. As a corollary, we obtain a new realization of the crystal B (∞) for the quantum classical algebras of type An.
Original language | English |
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Pages (from-to) | 524-535 |
Number of pages | 12 |
Journal | Journal of Algebra |
Volume | 308 |
Issue number | 2 |
DOIs | |
State | Published - 15 Feb 2007 |
Keywords
- Crystal bases
- Modified Nakajima monomials