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

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Showing math.QAShow all

5 papers · 1 filter

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…

math.QA1999★ 2 cited

Crystal graphs for basic representations of the quantum affine algebra $U_{q} (C_{2}^{(1)})$

Jin Hong, Seok-Jin Kang

We give a realization of crystal graphs for basic representations of the quantum affine algebra $U_{q} (C_{2}^{(1)})$ in terms of new combinatorial objects called the Young walls.

math.QA1998★ 7 cited

Vertex Models with Alternating Spins

Jin Hong, Seok-Jin Kang, Tetsuji Miwa +1

The diagonalisation of the transfer matrices of solvable vertex models with alternating spins is given. The crystal structure of (semi-)infinite tensor products of finite-dimension…

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​)

Crystal graphs for basic representations of the quantum affine algebra Uq​(C2(1)​)

Vertex Models with Alternating Spins

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 $U_{q} (s l^_{2})$

Crystal graphs for basic representations of the quantum affine algebra $U_{q} (C_{2}^{(1)})$