Alexandre Afgoustidis

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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

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.RT2024

Nilpotent Invariants for Generic Discrete Series of Real Groups

Jeffrey Adams, Alexandre Afgoustidis

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

The Mackey bijection as a stratified equivalence

Lowest K-types in the local Langlands correspondence

Nilpotent Invariants for Generic Discrete Series of Real Groups

Lowest $K$ -types in the local Langlands correspondence