𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on the geometry of Lie groups

✍ Scribed by A. Ceylan Çöken; Ünver Çiftçi


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
157 KB
Volume
68
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

✦ Synopsis


The degenerate semi-Riemannian geometry of a Lie group is studied. Then a naturally reductive homogeneous semi-Riemannian space is obtained from the Lie group in a natural way.


📜 SIMILAR VOLUMES


A Note on Lie Centrally Metabelian Group
✍ Meena Sahai; J.B. Srivastava 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 126 KB

Let K be a field of characteristic 3 and let G be a non-abelian group. It is shown that the group algebra KG is Lie centrally metabelian if and only if the commutator subgroup GЈ is cyclic of order 3. In view of the results of R. K. Sharma Ž . and J. B. Srivastava 1992, J. Algebra 151, 476᎐486 , thi

Local Differential Geometry on the Tempe
✍ A. Guichardet 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 780 KB

Delorme proved that the Fell topology on the tempered dual of a real semi simple group \(G\) is rather simple: roughly speaking, it is identical with the "parameter topology." The aim of this paper is to prove that the "differential geometry" of the tempered dual is very simple, too; by differential

A note on nonidentical lie relators
✍ Daniel Groves 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 467 KB

It has been an open question for many years whether the associated Lie ring of a relatively free group is necessarily relatively free (see, for example, [15]). We answer this question in the negative by proving that the variety ~4g~z has Lie relators which are not identical Lie relators.