๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Cocycle representations of solvable Lie groups

โœ Scribed by Henri Moscovici; Andrei Verona

Publisher
Springer-Verlag
Year
1978
Tongue
French
Weight
720 KB
Volume
160
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Moyal Product and Representations of Sol
Moyal Product and Representations of Solvable Lie Groups
โœ D Arnal; J.C Cortet; J Ludwig ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 640 KB

Using a parametrization for the universal covering \(c_{10}\) of any coadjoint orbit \(c\) of a solvable (connected and simply connected) Lie group \(G\), we prove that the Moyal product on \(\mathfrak{c}_{0}\) gives a realization of the unitary representations canonically associated to the orbit (

Holomorphically Induced Representations
Holomorphically Induced Representations of Some Solvable Lie Groups
โœ Junko Inoue ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 508 KB

We study holomorphically induced representations r of Lie groups G=exp g from weak polarizations h at f ยฅ g\*. When G is a connected and simply connected Lie group whose Lie algebra is a normal j-algebra, we obtain a sufficient condition for non-vanishing of r and the decomposition of r into irreduc

Continuous Families of Quasi-Regular Rep
Continuous Families of Quasi-Regular Representations of Solvable Lie Groups
โœ D. Schueth ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 566 KB

We generalize a result about two-step nilpotent Lie groups by Carolyn Gordon and He Ouyang: Let \(\left\{\Gamma_{t}\right\}_{1 \geqslant 0}\) be a continuous family of uniform discrete subgroups of a simply connected Lie group \(G\) such that the quasi-regular representations of \(G\) on \(L^{2}\lef