Clifford theory on rational Cherednik algebras of imprimitive groups

TL;DR

This paper extends Clifford theory and automorphisms from affine Hecke algebras to cyclotomic Hecke algebras and rational Cherednik algebras, broadening the understanding of their algebraic structures.

Contribution

It introduces a Clifford theory framework for rational Cherednik algebras of imprimitive groups, expanding previous automorphism results.

Findings

Extended Clifford theory to cyclotomic Hecke algebras

Applied Clifford theory to rational Cherednik algebras of imprimitive groups

Provided new insights into automorphisms of these algebras

Abstract

Ram and Rammage have introduced an automorphism and Clifford theory on affine Hecke algebras. Here we will extend them to cyclotomic Hecke algebras and rational Cherednik algebras.