On symplectic quandles

Details On symplectic quandles On symplectic quandles

2007-03-24

arxiv.org/abs/math/0703727v2

Mathematics

Quantum Algebra

11 pages. v2: typo corrections suggested by referee. To appear in Osaka J. Math

Scientific paper

We study the structure of symplectic quandles, quandles which are also R-modules equipped with an antisymmetric bilinear form. We show that every finite dimensional symplectic quandle over a finite field F or arbitrary field F of characteristic other than 2 is a disjoint union of a trivial quandle and a connected quandle. We use the module structure of a symplectic quandle over a finite ring to refine and strengthen the quandle counting invariant.

Affiliated with

Also associated with

No associations

Rating

On symplectic quandles 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 symplectic quandles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On symplectic quandles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-703320