Hyeonmi Lee

most citedNakajima monomials and crystals for special linear Lie algebras

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

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math.QA2005

Descriptions of the crystal $B (\infty)$ for $G_{2}$

Hyeonmi Lee

We study the crystal base of the negative part of a quantum group. Two explicit descriptions of the crystal $B (\infty)$ for types $G_{2}$ are given. The first is given in terms of ex…

math.QA2005★ 1 cited

Nakajima monomials and crystals for special linear Lie algebras

Hyeonmi Lee

We present explicit descriptions of the crystals $B (\infty)$ and $B (λ)$ over special linear Lie algebras in the language of \emph{extended Nakajima monomials}.…

math.QA2004

Affine crystals of type $D_{n}^{(1)}$ and Young walls

Hyeonmi Lee

We give a new realization of arbitrary level perfect crystals and arbitrary level irreducible highest weight crystals of type $D_{n}^{(1)}$ , in the language of Young walls. The notio…

math.QA2003

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 $B (λ)$ for quantum affine algebras of type $A_n^{(1)}…

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…

Descriptions of the crystal B(∞) for G2​

Nakajima monomials and crystals for special linear Lie algebras

Affine crystals of type Dn(1)​ and Young walls

Higher level affine crystals and Young walls

Young Wall Realization of Crystal Bases for Classical Lie Algebras

Descriptions of the crystal $B (\infty)$ for $G_{2}$

Affine crystals of type $D_{n}^{(1)}$ and Young walls