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math.RT2026
Well-tempered symmetric spaces
Alexandre Afgoustidis, Peter Hochs, Shintaro Nishikawa +1
Let be a real reductive symmetric space. We consider the support of the Plancherel measure for the regular representation of on , and its Fell topology. We firs…
math.RT2026
The Mackey bijection as a stratified equivalence
Alexandre Afgoustidis, Pierre Clare
This paper is about the Mackey analogy between the tempered representation theory of a real reductive group and that of its Cartan motion group. We consider the embedding of reduce…