Drinfeld Hecke algebras for symmetric groups in positive characteristic

We investigate deformations of skew group algebras arising from the action symmetric on polynomial rings over fields arbitrary characteristic. Over real or complex numbers, Lusztig’s graded affine Hecke algebra and analogs are all isomorphic to Drinfeld algebras, which include symplectic reflection rational Cherednik algebras. prime characteristic, new arise that capture both a disruption also commutativity relations defining ring. classify for acting via its natural (reducible) representation.