Group-theoretic Approach for Symbolic Tensor Manipulation: I. Free Indices

Details Group-theoretic Approach for Symbolic Tensor Manipulation: I. Free Indices Group-theoretic Approach for Symbolic Tensor Manipulation: I. Free Indices

2001-07-31

arxiv.org/abs/math-ph/0107031v1

Physics

Mathematical Physics

10 pages, LaTeX

Scientific paper

We describe how Computational Group Theory provides tools for manipulating tensors in explicit index notation. In special, we present an algorithm that puts tensors with free indices obeying permutation symmetries into the canonical form. The method is based on algorithms for determining the canonical coset representative of a subgroup of the symmetric group. The complexity of our algorithm is polynomial on the number of indices and is useful for implementating general purpose tensor packages on the computer algebra systems.

Affiliated with

Also associated with

No associations

Rating

Group-theoretic Approach for Symbolic Tensor Manipulation: I. Free Indices 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 Group-theoretic Approach for Symbolic Tensor Manipulation: I. Free Indices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Group-theoretic Approach for Symbolic Tensor Manipulation: I. Free Indices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-360274