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

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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…

Monomial Relization of Crystal Bases for Special Linear Lie Algebras

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

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