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Let $G$ be a quasi-Hermitian Lie group with Lie algebra $𝔤$ and $K$ be a compactly embedded subgroup of $G$ . Let $ξ_{0}$ be a regular element of $𝔤^{*}$ which is fixed by $K$ . We give an explicit $G$ -equivariant diffeomorphism from a complex domain onto the coadjoint orbit $𝒪 (ξ_{0})$ of $ξ_{0}$ . This generalizes a result of [B. Cahen, Berezin quantization and holomorphic representations, Rend. Sem. Mat. Univ. Padova, to appear] concerning the case where $𝒪 (ξ_{0})$ is associated with a unitary irreducible representation of $G$ which is holomorphically...

Good Ideals in the Group Algebra of a Nilpotent Lie Group.

Jean Ludwig (1978)

Mathematische Zeitschrift

Groupes localement compacts

Armand Borel (1948/1951)

Séminaire Bourbaki

Displaying 1 – 7 of 7

Gamma-cohomology and the Selberg zeta function.

G-distributions et G-intégrales multiplicatives sur une variété

Gelfand pairs and spherical functions.

Geometry of biinvariant subsets of complex semisimple Lie groups

Global Parametrization of Scalar Holomorphic Coadjoint Orbits of a Quasi-Hermitian Lie Group

Good Ideals in the Group Algebra of a Nilpotent Lie Group.

Groupes localement compacts

Currently displaying 1 – 7 of 7