Twisted product of Lie groups

Details Twisted product of Lie groups Twisted product of Lie groups

1997-03-03

arxiv.org/abs/dg-ga/9703003v1

Mathematics

Differential Geometry

20 pages, LATEX, to be published in Siberian Mathematical Journal

Scientific paper

In this article we define the twisted product of groups as the generalization of the semidirect product of groups. We will find the necessary and sufficient condition in order that the twisted product of groups to be a group. In particular, for two copies of the same group, the twisted product of group by itself through the action of inner automorphisms is a group if and only if the initial group is a metabelian group. Further we will construct Lie algebra for Lie group of a twisted product of Lie groups. In the case of twisted product of Lie group by itself by means of the action of inner automorphisms we find the dependence of the scalar curvature for resulting Lie group on the scalar curvature for initial Lie group.

Affiliated with

Also associated with

No associations

Rating

Twisted product of Lie groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Twisted product of Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Twisted product of Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-47280