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Geometric invariant theory on Stein spaces.

Peter Heinzner (1991)

Mathematische Annalen

Geometry of biinvariant subsets of complex semisimple Lie groups

Gregor Fels, Laura Geatti (1998)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Geometry of hypersurfaces and mapping theorems in Cn.

D., Jr. Burns, S. Shnider (1979)

Commentarii mathematici Helvetici

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

Benjamin Cahen (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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...

Group actions and envelopes of holomorphy.

Stefano Trapani, E. Casadio Tarabusi (1994)