Lie invariants in two and three variables

Details Lie invariants in two and three variables Lie invariants in two and three variables

2010-08-13

arxiv.org/abs/1008.2380v1

Mathematics

Rings and Algebras

21 pages

Scientific paper

We use computer algebra to determine the Lie invariants of degree <= 12 in the free Lie algebra on two generators corresponding to the natural representation of the simple 3-dimensional Lie algebra sl(2,C). We then consider the free Lie algebra on three generators, and compute the Lie invariants of degree <= 7 corresponding to the adjoint representation of sl(2,C), and the Lie invariants of degree <= 9 corresponding to the natural representation of sl(3,C). We represent the action of sl(2,C) and sl(3,C) on Lie polynomials by computing the coefficient matrix with respect to the basis of Hall words. We then use algorithms for linear algebra (row canonical form, Hermite normal form, lattice basis reduction) to compute a basis of the nullspace.

Affiliated with

Also associated with

No associations

Rating

Lie invariants in two and three variables 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 Lie invariants in two and three variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lie invariants in two and three variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-503567