𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Symmetric spaces and star representations: II. Causal symmetric spaces

✍ Scribed by P. Bieliavsky; M. Pevzner


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
96 KB
Volume
41
Category
Article
ISSN
0393-0440

No coin nor oath required. For personal study only.

✦ Synopsis


We construct and identify star representations canonically associated with holonomy-reducible simple symplectic symmetric spaces. This leads a non-commutative geometric realization of the correspondence between causal symmetric spaces of Cayley-type and Hermitian symmetric spaces of tube-type.


πŸ“œ SIMILAR VOLUMES


Representations, Characters, and Spheric
✍ Joachim Hilgert; Bernhard KrΓΆtz πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 281 KB

In this paper we study spherical unitary highest weight representations associated to a compactly causal symmetric space and use the results to prove estimates for the corresponding spherical functions of the c-dual non-compactly causal symmetric space. Such estimates turn out to be useful in determ

Representations in L2-Spaces on Infinite
✍ Karl-Hermann Neeb; Bent Ørsted πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 311 KB

In this paper we study representations of the automorphism groups of classical infinite-dimensional tube domains. In particular we construct the L 2 -realization of all unitary highest weight representations, including the vector-valued case. We also find a projective representation of the full iden

Generalized Affine Symmetric Spaces
✍ OldΕ™ich Kowalski πŸ“‚ Article πŸ“… 1977 πŸ› John Wiley and Sons 🌐 English βš– 245 KB

In [Z] we have introduced and studied generalized symmetric RIEafA"ian spaces. In the present paper we introduce the concept of a generalized affine symmetric space. We also define the group of transvections of such a space, m d we give s ~m e basic properties of this group. Following 0. LOOS, a sy

On the Meromorphic Extension of the Sphe
✍ G Γ“lafsson; A Pasquale πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 367 KB

We determine integral formulas for the meromorphic extension in the \*-parameter of the spherical functions . \* on a noncompactly causal symmetric space. The main tool is Bernstein's theorem on the meromorphic extension of complex powers of polynomials. The regularity properties of . \* are deduced