Mackey’s formula for cyclotomic Hecke algebras and rational Cherednik algebras of type $G(r, 1, n)$

The restriction/induction functors play an important role for the representation theory
of cyclotomic Hecke algebras and rational Cherednik algebras of type $G(r, 1, n)$.
In this talk, we discuss an analog of Mackey’s formula for two parabolic subalgebras
of the cyclotomic Hecke algebras and the rational Cherednik algebras.