Geometry of biinvariant subsets of complex semisimple Lie groups

Gregor Fels; Laura Geatti

Displaying similar documents to “Geometry of biinvariant subsets of complex semisimple Lie groups”

Berezin-Weyl quantization for Cartan motion groups

Benjamin Cahen (2011)

Commentationes Mathematicae Universitatis Carolinae

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We construct adapted Weyl correspondences for the unitary irreducible representations of the Cartan motion group of a noncompact semisimple Lie group by using the method introduced in [B. Cahen, Weyl quantization for semidirect products, Differential Geom. Appl. 25 (2007), 177--190].

On the complex and convex geometry of Ol'shanskii semigroups

Karl-Hermann Neeb (1998)

Annales de l'institut Fourier

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To a pair of a Lie group $G$ and an open elliptic convex cone $W$ in its Lie algebra one associates a complex semigroup $S = G Exp (i W)$ which permits an action of $G \times G$ by biholomorphic mappings. In the case where $W$ is a vector space $S$ is a complex reductive group. In this paper we show that such semigroups are always Stein manifolds, that a biinvariant domain $D \subseteq S$ is Stein is and only if it is of the form $G Exp (D_{h})$ , with $D h \subseteq i W$ convex, that each holomorphic function on $D$ extends to the smallest biinvariant Stein domain...

Representations of semisimple groups associated to nilpotent orbits

Linda Preiss Rothschild, Joseph A. Wolf (1974)

Annales scientifiques de l'École Normale Supérieure

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Functions, flows and oscillatory integrals on flag manifolds and conjugacy classes in real semisimple Lie groups

J. J. Duistermaat, J. A. C. Kolk, V. S. Varadarajan (1983)

Compositio Mathematica

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A character approach to Looijenga's invariant theory for generalized root systems

Peter Slodowy (1985)

Compositio Mathematica

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