Alexandre Afgoustidis

collaborators

2 papers

math.RT2019

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

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…