M. Kashiwara

activity

19952023

most citedCategorification of Highest Weight Modules via Khovanov-Lauda-Rouquier Algebras

114 citations · 937 across the 96 of their papers we have counts for

collaborators

Showing 2020Show all

8 papers · 1 filter

math.RT2020★ 3 cited

PBW theory for quantum affine algebras

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

Let $U_{q}^{'} (g)$ be a quantum affine algebra of arbitrary type and let $C_{g}$ be Hernandez-Leclerc's category. We can associate the quantum affine Sch…

math.QA2020★ 4 cited

Categories over quantum affine algebras and monoidal categorification

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

Let $U_{q}^{'} (g)$ be a quantum affine algebra of untwisted affine $A D E$ type, and $C_{g}^{0}$ the Hernandez-Leclerc category of finite-dimensional $U_q'(\…

math.RT2020

PBW theoretic approach to the module category of quantum affine algebras

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

Let $U_{q}^{'} (g)$ be a quantum affine algebra of untwisted affine ADE type and let $C_{g}^{0}$ be Hernandez-Leclerc's category. For a duality datum $\math…

math.RT2020★ 1 cited

Braid group action on the module category of quantum affine algebras

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

Let $g_{0}$ be a simple Lie algebra of type ADE and let $U_{q}^{'} (g)$ be the corresponding untwisted quantum affine algebra. We show that there exists an action of…

math.RT2020

Simply-laced root systems arising from quantum affine algebras

Masaki Kashiwara, Myungho Kim, Se-jin Oh +1

Let $U_{q}^{'} (g)$ be a quantum affine algebra with an indeterminate $q$ and let $C_{g}$ be the category of finite-dimensional integrable $U_q'(\mathfrak…

math.AG2020★ 5 cited

On a topological counterpart of regularization for holonomic D-modules

Andrea D'Agnolo, Masaki Kashiwara

On a complex manifold, the embedding of the category of regular holonomic D-modules into that of holonomic D-modules has a left quasi-inverse functor $\mathcal{M}\mapsto\mathcal{M}…