P-matrices in orbit spaces and invariant theory

Details P-matrices in orbit spaces and invariant theory P-matrices in orbit spaces and invariant theory

2006-07-23

arxiv.org/abs/hep-th/0607165v1

Journal of Physics: Conference Series 30 (2006) 30--40

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Included in the Proceeding of the 8th Int. School of Th. Physics(SSPCM05), 31/8-7/9 2005, Myczkowce, Poland

Scientific paper

10.1088/1742-6596/30/1/005

In many physical problems or applications one has to study functions that are invariant under the action of a symmetry group G and this is best done in the orbit space of G if one knows the equations and inequalities defining the orbit space and its strata. It is reviewed how the P-matrix is defined in terms of an integrity basis and how it can be used to determine the equations and inequalities defining the orbit space and its strata. It is shown that the P-matrix is a useful tool of constructive invariant theory, in fact, when the integrity basis is only partially known, calculating the P-matrix elements, one is able to determine the integrity basis completely.

Affiliated with

Also associated with

No associations

Rating

P-matrices in orbit spaces and invariant theory 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 P-matrices in orbit spaces and invariant theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and P-matrices in orbit spaces and invariant theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-137431