Convex cones and SAGBI bases of permutation invariants
Commutative Algebra
2007-05-23 v1 Combinatorics
Abstract
Let G be a permutation group acting on {1,...,n}, and < be any admissible term order on the polynomial ring K[x_1,...,x_n]. We prove that the invariant ring K[x_1,...,x_n]^G of G has a finite SAGBI basis if, and only if, G is generated by reflections.
Cite
@article{arxiv.math/0607380,
title = {Convex cones and SAGBI bases of permutation invariants},
author = {Nicolas M. Thiéry and Stéphan Thomassé},
journal= {arXiv preprint arXiv:math/0607380},
year = {2007}
}
Comments
4 pages