When a Lie group $G$ acts transitively on a manifold $X$, an irreducible subrepresentation of the unitary representation $L^2(X)$ is called a discrete series representation of $X$. The discrete series plays an important role in the study of harmonic analysis for symmetric spaces. In this talk, we would like to give sufficient conditions for the existence of discrete series for general homogeneous spaces of real reductive groups and also for the case of equivariant line bundles in terms of coadjoint orbits.
De Shintaro Nishikawa
De Juliette Coutens
De Yiannis Sakellaridis
De Bernhard Krötz
De Yoshiki Oshima
De Yiannis Sakellaridis
De Bernhard Krötz
De Polyxeni Spilioti
De Alain Connes
De Karl-Hermann Neeb
De Karl-Hermann Neeb
