๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Decomposition of Quasi-regular Representations Induced from Discrete Subgroups of Nilpotent Lie Groups

โœ Scribed by Hatem Hamrouni

Publisher
Springer
Year
2007
Tongue
English
Weight
161 KB
Volume
81
Category
Article
ISSN
0377-9017

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Equivalence of Quasi-regular Representat
Equivalence of Quasi-regular Representations of Two and Three-Step Nilpotent Lie Groups
โœ R. Gornet ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 645 KB

We characterize all pairs of cocompact, discrete subgroups \(\Gamma_{1}\) and \(\Gamma_{2}\) of a twostep nilpotent Lie group \(M\) such that the quasi-regular representations of \(M\) on \(L^{2}\left(\Gamma_{1} \backslash M\right)\) and \(L^{2}\left(\Gamma_{2} \backslash M\right)\) are unitarily eq

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

Discrete Cocompact Subgroups of the Four
Discrete Cocompact Subgroups of the Four-Dimensional Nilpotent Connected Lie Group and Their Group C*-Algebras
โœ Paul Milnes; Samuel Walters ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

Let G 4 be the unique, connected, simply connected, four-dimensional, nilpotent Lie group. In this paper, the discrete cocompact subgroups H of G 4 are classified and shown to be in 1-1 correspondence with triples p 1 p 2 p 3 โˆˆ 3 that satisfy p 2 p 3 > 0 and a certain restriction on p 1 . The K-grou