On Mackey Decomposition for locally profinite groups

2022/03/27 by Yuki Yamamoto, Yamamoto, Yuki
Mathematics · #22D30 #22E50 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #math.GR #math.RT #msc:22D30 #msc:22E50

paper · pdf · doi:10.48550/arxiv.2203.14262

9 pages

arxiv created 2022/03/27 · arxiv updated 2022/03/29

Abstract

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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