2025 - T1 - WS2 - Tempered representations and K-theory

Collection 2025 - T1 - WS2 - Tempered representations and K-theory

Organizer(s) Afgoustidis, Alexandre ; Clare, Pierre
Date(s) 24/02/2025 - 28/02/2025
linked URL https://indico.math.cnrs.fr/event/10857/
3 16

The $L^p$-dual space of a semisimple Lie group

By Bachir Bekka

Given a group $G$ and a real number $p$, it is natural to study representations of G by linear isometries on $L^p$-spaces. Of course, the case where $p$ is equal to 2 corresponds to the familiar and much studied case of unitary representations of $G$. For a semisimple Lie group $G$, we will give a complete classification of all its irreducible $L^p$-representations, for $p\neq2$.

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Citation data

  • DOI 10.57987/IHP.2025.T1.WS2.003
  • Cite this video Bekka, Bachir (24/02/2025). The $L^p$-dual space of a semisimple Lie group. IHP. Audiovisual resource. DOI: 10.57987/IHP.2025.T1.WS2.003
  • URL https://dx.doi.org/10.57987/IHP.2025.T1.WS2.003

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