Power sum decompositions of defining equations of reflection arrangements
Algebraic Geometry
2015-06-17 v3 Commutative Algebra
Combinatorics
Abstract
We determine the Waring rank of the fundamental skew invariant of any complex reflection group whose highest degree is a regular number. This includes all irreducible real reflection groups.
Keywords
Cite
@article{arxiv.1304.7202,
title = {Power sum decompositions of defining equations of reflection arrangements},
author = {Zach Teitler and Alexander Woo},
journal= {arXiv preprint arXiv:1304.7202},
year = {2015}
}
Comments
15 pages. v2: minor corrections and clarifications. v3: added discussion of cactus rank, more examples, corrected coefficient of power sum decomposition of Vandermonde determinant, new title