Abstract
Given a p-adic group and a finite group such that the fixed-point subgroup is reductive, we establish a relationship between constructions of types for G and due to Yu, Kim–Yu and Fintzen, which generalizes the relationship between those of general linear and classical groups originally observed by Stevens. As an application, given an irreducible representation π of G, we explicitly identify a number of the inertial equivalence classes occurring in the representation .
2020 Mathematics Subject Classification:
Acknowledgments
The second author’s research is supported by a Discovery Grant from NSERC Canada.