114 citations · 510 across the 61 of their papers we have counts for
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Construction of Irreducible Representations over Khovanov-Lauda-Rouquier Algebras of Finite Classical Type
Georgia Benkart, Seok-Jin Kang, Se-jin Oh +1
We give an explicit construction of irreducible modules over Khovanov-Lauda-Rouquier algebras and their cyclotomic quotients for finite classical types using a crystal ba…
Quiver Hecke superalgebras
Seok-Jin Kang, Masaki Kashiwara, Shunsuke Tsuchioka
We introduce a new family of superalgebras which should be considered as a super version of the Khovanov-Lauda-Rouquier algebras. Let be the set of vertices of a Dynkin diagram…
Categorification of highest weight modules over quantum generalized Kac-Moody algebras
Seok-Jin Kang, Masaki Kashiwara, Se-jin Oh
Let $U_q(\g)$ be a quantum generalized Kac-Moody algebra and let be the integrable highest weight $U_q(\g)$-module with highest weight . We prove that the cyclotomic Khov…
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…
Categorification of Quantum Generalized Kac-Moody Algebras and Crystal Bases
Seok-Jin Kang, Se-jin Oh, Euiyong Park
We construct and investigate the structure of the Khovanov-Lauda-Rouquier algebras and their cyclotomic quotients which give a categrification of quantum generalized Kac-…