𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The orbit method and Gelfand pairs, associated with nilpotent Lie groups

✍ Scribed by Chal Benson; Joe Jenkins; Gail Ratcliff

Publisher
Springer-Verlag
Year
1999
Tongue
English
Weight
760 KB
Volume
9
Category
Article
ISSN
1050-6926

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

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

A method to obtain the lie group associa
A method to obtain the lie group associated with a nilpotent lie algebra
✍ J.C. Benjumea; F.J. Echarte; J. NΓΊΓ±ez; A.F. Tenorio πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 628 KB

According to Ado and Cm'tan Theorems, every Lie algebra of finite dimension can be represented as a Lie subalgebra of the Lie algebra associated with the general linear group of matrices. We show in this paper a method to obtain the simply connected Lie group associated with a nilpotent Lie algebra,