Monomial realization of crystal bases for special linear Lie algebras
نویسندگان
چکیده
منابع مشابه
Monomial Relization of Crystal Bases for Special Linear Lie Algebras
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. Introduction The quantum groups, which are certain deformations of the universal enveloping algebras of ...
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Nakajima introduced a certain set of monomials characterizing the irreducible highest weight crystals. The monomial set can be extended so that it contains B(∞) in addition to B(λ). We give explicit new realizations of the crystals B(∞) and B(λ) over special linear Lie algebras.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2004
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2003.08.001