Monomial Relization of Crystal Bases for Special Linear Lie Algebras

Details Monomial Relization of Crystal Bases for Special Linear Lie Algebras Monomial Relization of Crystal Bases for Special Linear Lie Algebras

2003-03-19

arxiv.org/abs/math/0303232v1

Mathematics

Representation Theory

15 pages

Scientific paper

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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