Seok-Jin Kang

activity

19982004

most citedFock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm

3 citations · 5 across the 9 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…

math.RT1998

Gröbner-Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras

Leonid A. Bokut, Seok-Jin Kang, Kyu-Hwan Lee +1

We show that a set of monic polynomials in the free Lie superalgebra is a Gröbner-Shirshov basis for a Lie superalgebra if and only if it is a Gröbner-Shirshov basis for its univer…

Monomial Relization of Crystal Bases for Special Linear Lie Algebras

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

Gröbner-Shirshov Bases for Lie Superalgebras and Their Universal Enveloping Algebras

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