Crystal bases for quantum classical algebras and Nakajima's monomials

Seok Jin Kang, Jeong Ah Kim, Dong Uy Shin

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


Using Nakajima's monomials, we construct a new realization of crystal bases for finite dimensional irreducible modules over quantum classical algebras. We also give an explicit bijection between the monomial realization and the Young tableau realization of crystal bases.

Original languageEnglish
Pages (from-to)757-791
Number of pages35
JournalPublications of the Research Institute for Mathematical Sciences
Issue number3
StatePublished - Sep 2004


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