Monomial Relization of Crystal Bases for Special Linear Lie Algebras
Seok-Jin Kang, Jeong-Ah Kim, Dong-Uy Shin
Abstract
We give a new realization of crystal bases for finite dimensional irreducible modules over special linear Lie algebras using the monomials introduced by H. Nakajima. We also discuss the connection between this monomial realization and the tableau realization given by Kashiwara and Nakashima.
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