Alexandre Afgoustidis

activity

20152026

most citedOn the analogy between real reductive groups and Cartan motion groups. I: The Mackey-Higson bijection

11 citations · 20 across the 9 of their papers we have counts for

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math.RT2026

Well-tempered symmetric spaces

Alexandre Afgoustidis, Peter Hochs, Shintaro Nishikawa +1

Let $X = G / H$ be a real reductive symmetric space. We consider the support of the Plancherel measure for the regular representation of $G$ on $L^{2} (X)$ , 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…

math.RT2024

Nilpotent Invariants for Generic Discrete Series of Real Groups

Jeffrey Adams, Alexandre Afgoustidis

Let $G (R)$ be a real reductive group. Suppose $π$ is an irreducible representation of $G (R)$ having a Whittaker model, and consider three invariants of $π$ relate…

math.RT2024

Lowest $K$ -types in the local Langlands correspondence

Jeffrey Adams, Alexandre Afgoustidis

Consider the irreducible representations of a real reductive group $G (R)$ , and their parametrization by the local Langlands correspondence. We ask: does the parametrizatio…

math.RT2020

$C^{*}$ -blocks and crossed products for classical $p$ -adic groups

Alexandre Afgoustidis, Anne-Marie Aubert

Let $G$ be a real or $p$ -adic reductive group. We consider the tempered dual of $G$ , and its connected components. For real groups, Wassermann proved in 1987, by noncommutative-geo…

math.RT2019★ 2 cited

Continuity of the Mackey-Higson bijection

Alexandre Afgoustidis, Anne-Marie Aubert

When $G$ is a real reductive group and $G_{0}$ is its Cartan motion group, the Mackey-Higson bijection is a natural one-to-one correspondence between all irreducible tempered represe…

math.RT2018★ 4 cited

On the analogy between real reductive groups and Cartan motion groups. II: Contraction of irreducible tempered representations

Alexandre Afgoustidis

Attached to any reductive Lie group $G$ is a "Cartan motion group" $G_{0}$ $-$ a Lie group with the same dimension as $G$ , but a simpler group structure. A natural one-to-one corresp…

math.RT2015★ 11 cited

On the analogy between real reductive groups and Cartan motion groups. I: The Mackey-Higson bijection

Alexandre Afgoustidis

George Mackey suggested in 1975 that there should be analogies between the irreducible unitary representations of a noncompact reductive Lie group $G$ and those of its Cartan motio…

Well-tempered symmetric spaces

The Mackey bijection as a stratified equivalence

Nilpotent Invariants for Generic Discrete Series of Real Groups

Lowest K-types in the local Langlands correspondence

C∗-blocks and crossed products for classical p-adic groups

Continuity of the Mackey-Higson bijection

On the analogy between real reductive groups and Cartan motion groups. II: Contraction of irreducible tempered representations

On the analogy between real reductive groups and Cartan motion groups. I: The Mackey-Higson bijection

Lowest $K$ -types in the local Langlands correspondence

$C^{*}$ -blocks and crossed products for classical $p$ -adic groups