𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Geometric equivalence of nilpotent groups

✍ Scribed by A. Tsurkov

Publisher
Springer US
Year
2007
Tongue
English
Weight
157 KB
Volume
140
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Automorphism groups of nilpotent groups
Automorphism groups of nilpotent groups
✍ GΓ‘bor Braun; RΓΌdiger GΓΆbel πŸ“‚ Article πŸ“… 2003 πŸ› Springer 🌐 English βš– 122 KB
A Geometric Criterion for Gelfand Pairs
A Geometric Criterion for Gelfand Pairs Associated with Nilpotent Lie Groups
✍ Nao Nishihara πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 161 KB

In this paper, we give a proof to the orbit conjecture of Benson Jenkins Lipsman Ratcliff and get a geometric criterion for Gelfand pairs associated with nilpotent Lie groups. Our proof is based on an analysis of the condition by using certain operators naturally attached to two step nilpotent Lie a

Equivalence of Quasi-regular Representat
Equivalence of Quasi-regular Representations of Two and Three-Step Nilpotent Lie Groups
✍ R. Gornet πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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