Hyeonmi Lee

activity

19982016

most citedLevel 1 Perfect Crystals and Path Realizations of Basic Representations at q=0

31 citations · 50 across the 12 of their papers we have counts for

collaborators

12 papers

math.RT2016

Rigged Configuration Descriptions of the Crystals B(infinity) and B(lambda) for Special Linear Lie Algebras

Jin Hong, Hyeonmi Lee

The rigged configuration realization $R C (\infty)$ of the crystal $B (\infty)$ was originally presented as a certain connected component within a larger crystal. In this work, we mak…

math.RT2015

Description of $B (\infty)$ through Kashiwara Embedding for $E_{6}$ and $E_{7}$ Lie Algebra Types

Jin Hong, Hyeonmi Lee

We study the crystal base $B (\infty)$ associated with the negative part of the quantum group for finite simple Lie algebras of types $E_{6}$ and $E_{7}$ . We present an explici…

math.RT2013

Crystal $\Bla$ in $B (\infty)$ for $G_{2}$ type Lie Algebra

Min Kyu Kim, Hyeonmi Lee

A previous work gave a combinatorial description of the crystal $B (\infty)$ , in terms of certain simple Young tableaux referred to as the marginally large tableaux, for finite dime…

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★ 3 cited

Young tableaux and crystal $B (\infty)$ for finite simple Lie algebras

Jin Hong, Hyeonmi Lee

We study the crystal base of the negative part of a quantum group. An explicit realization of the crystal is given in terms of Young tableaux for types $A_{n}$ , $B_{n}$ , $C_{n}$ , $D_{n}$ ,…

math.RT2005★ 31 cited

Level 1 Perfect Crystals and Path Realizations of Basic Representations at q=0

Georgia Benkart, Igor Frenkel, Seok-Jin Kang +1

We present a uniform construction of level 1 perfect crystals $B$ for all affine Lie algebras. We also introduce the notion of a crystal algebra and give an explicit descr…

Rigged Configuration Descriptions of the Crystals B(infinity) and B(lambda) for Special Linear Lie Algebras

Description of B(∞) through Kashiwara Embedding for E6​ and E7​ Lie Algebra Types

Crystal $\Bla$ in B(∞) for G2​ type Lie Algebra

Descriptions of the crystal B(∞) for G2​

Young tableaux and crystal B(∞) for finite simple Lie algebras

Level 1 Perfect Crystals and Path Realizations of Basic Representations at q=0

Description of $B (\infty)$ through Kashiwara Embedding for $E_{6}$ and $E_{7}$ Lie Algebra Types

Crystal $\Bla$ in $B (\infty)$ for $G_{2}$ type Lie Algebra

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

Young tableaux and crystal $B (\infty)$ for finite simple Lie algebras