Orthogonal invariants of skew-symmetric matrices

Details Orthogonal invariants of skew-symmetric matrices Orthogonal invariants of skew-symmetric matrices

2010-04-19

arxiv.org/abs/1004.3082v1

Mathematics

Representation Theory

12 pages

Scientific paper

The algebra of invariants of d-tuples of n x n skew-symmetric matrices under the action of the orthogonal group by simultaneous conjugation is considered over an infinite field of characteristic different from two. For n=3 and d>0 a minimal set of generators is established. A homogeneous system of parameters (i.e., an algebraically independent set such that the algebra of invariants is a finitely generated free module over subalgebra generated by this set) is described for n=3 and d>0, for n=4 and d=2,3, for n=5 and d=2.

Affiliated with

Also associated with

No associations

Rating

Orthogonal invariants of skew-symmetric matrices 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 Orthogonal invariants of skew-symmetric matrices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orthogonal invariants of skew-symmetric matrices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-59168