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Geometric constructions and representations

Wolf, Joseph A. — 1991

Proceedings of the Winter School "Geometry and Physics"

[For the entire collection see Zbl 0742.00067.]Let $G$ be a connected semisimple Lie group with finite center. In this review article the author describes first the geometric realization of the discrete series representations of $G$ on Dolbeault cohomology spaces and the tempered series of representations of $G$ on partial Dolbeault cohomology spaces. Then he discusses his joint work with Wilfried Schmid on the construction of maximal globalizations of standard Zuckerman modules via geometric quantization....

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Currently displaying 1 – 17 of 17

Geometric constructions and representations

Injectivity of the double fibration transform for cycle spaces of flag domains.

A note on the linear cycle space for groups of Hermitian type.

Remark on the complexified Iwasawa decomposition.

Sur les revêtements riemanniens

Quelques résultats de R. Bott sur la topologie des groupes de Lie

Isotropic Manifolds of Indefinite Metric.

On Locally Symmetric Spaces of Non-negative Curvature and certain other Locally Homogeneous Spaces.

Locally symmetric homogeneous spaces.

VINCENT's Conjecture on CLIFFORD Translations of the Sphere.

On the Lattice Space Forms.

Homogeneous Manifolds of Contant Curvature.

Continuation of unitary derived functor modules out of the canonical chamber

Rapidly decreasing functions on general semisimple groups

The Plancherel theorem for general semisimple groups

Zeta Functions and Their Asmptotic Expansions for Compact Symmetric Spaces of Rank One

Representations of semisimple groups associated to nilpotent orbits