Jin Hong

activity

19982016

most citedYoung wall realization of crystal graphs for U_q(C_n^{(1)})

15 citations · 36 across the 9 of their papers we have counts for

collaborators

9 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.MG2014

On the Euclidean dimension of graphs

Jin Hyup Hong, Dan Ismailescu

The Euclidean dimension a graph $G$ is defined to be the smallest integer $d$ such that the vertices of $G$ can be located in $R^{d}$ in such a way that two vertices are uni…

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.QA2002★ 15 cited

Young wall realization of crystal graphs for U_q(C_n^{(1)})

Jin Hong, Seok-Jin Kang, Hyeonmi Lee

We give a realization of crystal graphs for basic representations of the quantum affine algebra U_q(C_n^{(1)}) using combinatorics of Young walls. The notion of splitting blocks pl…

math.QA2002

A construction of level 1 irreducible modules for $U_{q} (s p^_{4})$ using level 2 intertwiners for $U_{q} (s l^_{2})$

Boris Feigin, Jin Hong, Tetsuji Miwa

We bosonize certain components of level $ℓ$ $U_{q} (s l^_{2})$ -intertwiners of $(ℓ + 1)$ -dimensions. For $ℓ = 2$ , these intertwiners, after certain modification by bosonic…

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

On the Euclidean dimension of graphs

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

Young wall realization of crystal graphs for U_q(C_n^{(1)})

A construction of level 1 irreducible modules for Uq​(sp^​4​) using level 2 intertwiners for Uq​(sl^2​)

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

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

A construction of level 1 irreducible modules for $U_{q} (s p^_{4})$ using level 2 intertwiners for $U_{q} (s l^_{2})$