Dong-Uy Shin

most citedCrystal bases and monomials for

U_{q} (G_{2})

-modules

1 citations · 2 across the 3 of their papers we have counts for

collaborators

4 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★ 1 cited

Crystal bases and monomials for $U_{q} (G_{2})$ -modules

Dong-Uy Shin

In this paper, we give a new realization of crystal bases for irreducible highest weight modules over $U_{q} (G_{2})$ in terms of monomials. We also discuss the natural connection betwe…

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…

math.RT1998

The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras $A_{r}^{(1)}$

Georgia Benkart, Seok-Jin Kang, Hyeonmi Lee +2

We prove that the multiplicity of an arbitrary dominant weight for an integrable highest weight representation of the affine Kac-Moody algebra $A_{r}^{(1)}$ is a polynomial in the…

Young Wall Realization of Crystal Bases for Classical Lie Algebras

Crystal bases and monomials for Uq​(G2​)-modules

Monomial Relization of Crystal Bases for Special Linear Lie Algebras

The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras Ar(1)​

Crystal bases and monomials for $U_{q} (G_{2})$ -modules

The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras $A_{r}^{(1)}$