1 citations · 1 across the 5 of their papers we have counts for
6 papers
Descriptions of the crystal for
Hyeonmi Lee
We study the crystal base of the negative part of a quantum group. Two explicit descriptions of the crystal for types are given. The first is given in terms of ex…
Nakajima monomials and crystals for special linear Lie algebras
Hyeonmi Lee
We present explicit descriptions of the crystals and over special linear Lie algebras in the language of \emph{extended Nakajima monomials}.…
Affine crystals of type and Young walls
Hyeonmi Lee
We give a new realization of arbitrary level perfect crystals and arbitrary level irreducible highest weight crystals of type , in the language of Young walls. The notio…
Higher level affine crystals and Young walls
Seok-Jin Kang, Hyeonmi Lee
Using combinatorics of Young walls, we give a new realization of arbitrary level irreducible highest weight crystals for quantum affine algebras of type $A_n^{(1)}…
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…
The Polynomial Behavior of Weight Multiplicities for the Affine Kac-Moody Algebras
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 is a polynomial in the…