Effective Invariant Theory of Permutation Groups using Representation Theory
Combinatorics
2015-11-04 v1 Commutative Algebra
Abstract
Using the theory of representations of the symmetric group, we propose an algorithm to compute the invariant ring of a permutation group. Our approach have the goal to reduce the amount of linear algebra computations and exploit a thinner combinatorial description of the invariant ring.
Cite
@article{arxiv.1511.00954,
title = {Effective Invariant Theory of Permutation Groups using Representation Theory},
author = {Nicolas Borie},
journal= {arXiv preprint arXiv:1511.00954},
year = {2015}
}
Comments
Draft version, the corrected full version is available at http://www.springer.com/