Se-jin Oh

Simplicity of heads and socles of tensor products

We prove that, for simple modules

CATEGORIFICATION OF QUANTUM GENERALIZED KAC–MOODY ALGEBRAS AND CRYSTAL BASES

M

Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras III

and

Monoidal categorification of cluster algebras

N

Supercategorification of quantum Kac-Moody algebras

over a quantum affine algebra, their tensor product

Construction of Irreducible Representations over Khovanov–Lauda–Rouquier Algebras of Finite Classical Type

M\otimes N

Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras IV

has a simple head and a simple socle if

Perfect Bases for Integrable Modules over Generalized Kac-Moody Algebras

M\otimes M

Categorical relations between Langlands dual quantum affine algebras: doubly laced types

is simple. A similar result is proved for the convolution product of simple modules over quiver Hecke algebras.

Monoidal categories associated with strata of flag manifolds

We construct and investigate the structure of the Khovanov-Lauda-Rouquier algebras