37 citations · 95 across the 45 of their papers we have counts for
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PBW theory for quantum affine algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
Let be a quantum affine algebra of arbitrary type and let be Hernandez-Leclerc's category. We can associate the quantum affine Sch…
-dimensions of highest weight crystals and cyclic sieving phenomenon
Young-Tak Oh, Euiyong Park
In this paper, we compute explicitly the -dimensions of highest weight crystals modulo for a quantum group of arbitrary finite type under certain assumption, and interpr…
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'(\…
PBW theoretic approach to the module category of quantum affine algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
Let be a quantum affine algebra of untwisted affine ADE type and let be Hernandez-Leclerc's category. For a duality datum $\math…
Braid group action on the module category of quantum affine algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
Let be a simple Lie algebra of type ADE and let be the corresponding untwisted quantum affine algebra. We show that there exists an action of…
Simply-laced root systems arising from quantum affine algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +1
Let be a quantum affine algebra with an indeterminate and let be the category of finite-dimensional integrable $U_q'(\mathfrak…