The cyclotomic degenerate affine Hecke algebras of arbitrary Weyl groups

We show that certain semi-simple extensions of degenerate affine Hecke algebras of arbitrary Weyl groups admit analogous Khovanov–Lauda–Rouquier generators after some localization. As an application, we obtain the Brundan–Kleshchev–Rouquier-like isomorphisms between direct sums of blocks of cyclotomic degenerate affine Hecke algebras of arbitrary Weyl groups and the cyclotomic quotients of some graded subalgebras of the corresponding semi-simple extensions.