On Mackey Decomposition for locally profinite groups

Yuki Yamamoto

On Mackey Decomposition for locally profinite groups

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arxiv 2203.14262 v1 pith:ETVG42I4 submitted 2022-03-27 math.GR math.RT

Yuki Yamamoto This is my paper · ORCID

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To study induced representation of some class of groups, Mackey's theory is very useful. In this paper, we consider some generalization of Mackey's theory for locally profinite groups. In particular, we give conditions on groups under which we have the Mackey decomposition and some examples such that we do not have the Mackey decomposition in some sense.

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For tame reductive p-adic groups with residue field of at least four elements, a Yu-type input without the second genericity condition induces a finite set of irreducible supercuspidal representations.

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