most citedCorrespondence between Young walls and Young tableaux realizations of crystal bases for the classical Lie algebras

6 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.QA2003

Young Wall Realization of Crystal Bases for Classical Lie Algebras

Seok-Jin Kang, Jeong-Ah Kim, Hyeonmi Lee +1

In this paper, we give a new realization of crystal bases for finite dimensional irreducible modules over classical Lie algebras. The basis vectors are parameterized by certain You…

math.QA2003★ 6 cited

Correspondence between Young walls and Young tableaux realizations of crystal bases for the classical Lie algebras

Jeong-Ah Kim, Dong-Uy Shin

We give a 1-1 correspondence with the Young wall realization and the Young tableau realization of the crystal bases for the classical Lie algebras.

math.RT2003★ 1 cited

Monomial Relization of Crystal Bases for Special Linear Lie Algebras

Seok-Jin Kang, Jeong-Ah Kim, Dong-Uy Shin

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 discus…