8 citations · 31 across the 12 of their papers we have counts for
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Crystal base of the negative half of quantum orthosymplectic superalgebra
Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno
We construct a crystal base of the negative half of a quantum orthosymplectic superalgebra. It can be viewed as a limit of the crystal bases of -deformed irreducible oscillator…
Crystal bases of parabolic Verma modules over the quantum orthosymplectic superalgebras
Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno
We show that there exists a unique crystal base of a parabolic Verma module over a quantum orthosymplectic superalgebra, which is induced from a -analogue of a polynomial repres…
Path description for -characters of fundamental modules in type
Il-Seung Jang
In this paper, we investigate the behavior of monomials in the -characters of the fundamental modules over a quantum affine algebra of untwisted type C. As a result, we give sim…
Crystal base of the negative half of the quantum superalgebra
Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno
We construct a crystal base of , the negative half of the quantum superalgebra . We give a combinatorial description of the asso…
A combinatorial realization of Kirillov-Reshetikhin crystals for type E arising from translations
Il-Seung Jang
The main purpose of this paper is to give a combinatorial realization of Kirillov-Reshetikhin (KR simply) crystals for type with a minuscule node …
Lusztig data of Kashiwara-Nakashima tableaux in type D
Il-Seung Jang, Jae-Hoon Kwon
We describe the embedding from the crystal of Kashiwara-Nakashima tableaux in type of an arbitrary shape into that of -Lusztig data associated to a family of reduce…
Quantum nilpotent subalgebras of classical quantum groups and affine crystals
Il-Seung Jang, Jae-Hoon Kwon
We study the crystal of quantum nilpotent subalgebra of associated to a maximal Levi subalgebra of type . We show that it has an affine crystal structure of typ…