On the bilinear structure associated to the skew Bezoutian

Details On the bilinear structure associated to the skew Bezoutian On the bilinear structure associated to the skew Bezoutian

2010-04-23

arxiv.org/abs/1004.4208v1

Mathematics

Commutative Algebra

Scientific paper

Let (p,q) be a couple of reciprocal (resp. q is reciprocal and p is skew-reciprocal) coprime polynomials of degree d over a field with characteristic not 2.To such a couple we can associate a non-singular antisymmetric (resp. symmetric) matrix of size d, which we call the skew Bezoutian. In this paper we study some properties of the corresponding symplectic (resp. quadratic) space. Using the skew Bezoutian we construct explicit isometries of bilinear spaces with given invariants (such as the characteristic polynomial or Jordan form and, in the quadratic case, the spinor norm).

Affiliated with

Also associated with

No associations

Rating

On the bilinear structure associated to the skew Bezoutian 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 On the bilinear structure associated to the skew Bezoutian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the bilinear structure associated to the skew Bezoutian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-695173