JournalsprimsVol. 40, No. 3pp. 757–791

Crystal Bases for Quantum Classical Algebras and Nakajima’s Monomials

  • Seok-Jin Kang

    Seoul National University, South Korea
  • Dong-Uy Shin

    Korea Institute for Advanced Study, Seoul, South Korea
  • Jeong-Ah Kim

    Seoul National University, South Korea
Crystal Bases for Quantum Classical Algebras and Nakajima’s Monomials cover
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Abstract

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.

Cite this article

Seok-Jin Kang, Dong-Uy Shin, Jeong-Ah Kim, Crystal Bases for Quantum Classical Algebras and Nakajima’s Monomials. Publ. Res. Inst. Math. Sci. 40 (2004), no. 3, pp. 757–791

DOI 10.2977/PRIMS/1145475492