37 citations · 95 across the 45 of their papers we have counts for
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PBW theory for Bosonic extensions of quantum groups
Se-jin Oh, Euiyong Park
In this paper, we develop the PBW theory for the bosonic extension $\qbA{\g}$ of a quantum group $\mathcal{U}_q(\g)$ of \emph{any} finite type. When $\g$ belongs to the class of \e…
Categorical crystals for quantum affine algebras
Masaki Kashiwara, Euiyong Park
A new categorical crystal structure for the quantum affine algebras is presented. We introduce the extended crystal for an arbitrary quantum gr…
Monoidal categorification and quantum affine algebras II
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We introduce a new family of real simple modules over the quantum affine algebras, called the affine determinantial modules, which contains the Kirillov-Reshetikhin (KR)-modules as…
Categories over quantum affine algebras and monoidal categorification
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
Let be a quantum affine algebra of untwisted affine type, and the Hernandez-Leclerc category of finite-dimensional $U_q'(\…
Cluster algebra structures on module categories over quantum affine algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
We study monoidal categorifications of certain monoidal subcategories of finite-dimensional modules over quantum affine algebras, whose cluster algebra structures c…