Zigzag Strip Bundle Realization of B(Λ0) over Uq(Cn(1))

Jeong Ah Kim, Dong Uy Shin

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3 Scopus citations

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). Recently, these models were used to the realization of highest weight crystals except for the highest weight crystal B(Λ0) over the quantum affine algebra Uq(Cn(1)). In this paper, we construct the highest weight crystal B(Λ0) over the quantum affine algebra Uq(Cn(1)) using zigzag strip bundles, which completes the realizations of all highest weight crystals over Uq(g).

Original languageEnglish
Pages (from-to)1423-1436
Number of pages14
JournalAlgebras and Representation Theory
Volume19
Issue number6
DOIs
StatePublished - 2016 Dec 1

Keywords

  • Crystals
  • Kashiwara embeddings
  • Nakajima monomials
  • Zigzag strip bundles

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