3 papers
math.RT2026
Quantum imaginary Schur-Weyl duality
Haruto Murata
We study quiver Hecke algebras of untwisted affine type with an arbitrary choice of parameters and establish a duality with the Iwahori-Hecke algebra of the symmetric group. Th…
math.RT2025
A diagrammatic approach to reflection functors
Haruto Murata
We construct reflection functors for quiver Hecke algebras associated with arbitrary symmetrizable Kac-Moody algebras, from a higher representation-theoretic viewpoint. These funct…
math.RT2025
Affine highest weight structures on module categories over quiver Hecke algebras
Haruto Murata
We prove that the category of finitely generated graded modules over the quiver Hecke algebra of arbitrary type admits numerous stratifications in the sense of Kleshchev. A direct…