Abstract
Zigzag strip bundles are new combinatorial models realizing the crystals B( ∞) for the quantum affine algebras Uq(g), where g=Bn(1),Dn(1),Dn+1(2),Cn(1),A2n-1(2),A2n(2). In this paper, we give new realizations of the crystal bases B(λ) for the irreducible highest weight modules V(λ) over quantum affine algebras Uq(g) using zigzag strip bundles. Further, we discuss the connection between zigzag strip bundle realization, Nakajima monomial realization, and polyhedral realization of the crystals B(λ).
Original language | English |
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Pages (from-to) | 15-50 |
Number of pages | 36 |
Journal | Journal of Algebra |
Volume | 412 |
DOIs | |
State | Published - 15 Aug 2014 |
Keywords
- Crystals
- Kashiwara embeddings
- Nakajima monomials
- Zigzag strip bundles