25 citations · 48 across the 10 of their papers we have counts for
11 papers
Joint distribution of the cokernels of random -adic matrices II
Jiwan Jung, Jungin Lee
In this paper, we study the combinatorial relations between the cokernels () where is an matrix over the ring of -adi…
Supersymmetric polynomials and the center of the walled Brauer algebra
Ji Hye Jung, Myungho Kim
We study a commuting family of elements of the walled Brauer algebra , called the Jucys-Murphy elements, and show that the supersymmetric polynomials in these elements…
A categorification of -crystals
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +1
We provide a categorification of -crystals on the singular -category . Our result extends the -crystal stru…
Quantum walled Brauer-Clifford superalgebras
Georgia Benkart, Nicolas Guay, Ji Hye Jung +2
We introduce a new family of superalgebras, the quantum walled Brauer-Clifford superalgebras . The superalgebra is a quantum defo…
Quantum queer superalgebras
Ji Hye Jung, Seok-Jin Kang
We give a brief survey of recent developments in the highest weight representation theory and the crystal basis theory of the quantum queer superalgebra .
Mixed Schur-Weyl-Sergeev duality for queer Lie superalgebras
Ji Hye Jung, Seok-Jin Kang
We introduce a new family of superalgebras for such that , which we call the walled Brauer superalgebras, and prove the mixed Scur-We…
Crystal bases for the quantum queer superalgebra
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +2
In this paper, we develop the crystal basis theory for the quantum queer superalgebra . We define the notion of crystal bases and prove the tensor product rule…
Crystal bases for the quantum queer superalgebra and semistandard decomposition tableaux
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +2
In this paper, we give an explicit combinatorial realization of the crystal B(λ) for an irreducible highest weight U_q(q(n))-module V(λ) in terms of semistandard decomposition tabl…
Quantum Queer Superalgebra and Crystal Bases
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +2
In this paper, we develop the crystal basis theory for the quantum queer superalgebra $\Uq$. We define the notion of crystal bases, describe the tensor product rule, and present th…
Admissible Pictures and -Littlewood-Richardson Tableaux
Ji Hye Jung, Seok-Jin Kang, Young-Wook Lyoo
We construct a natural bijection between the set of admissible pictures and the set of -Littlewood-Richardson tableaux.
Highest weight modules over quantum queer Lie superalgebra U_q(q(n))
Dimitar Grantcharov, Ji Hye Jung, Seok-Jin Kang +1
In this paper, we investigate the structure of highest weight modules over the quantum queer superalgebra . The key ingredients are the triangular decomposition of $U_q(…