Power sum decompositions of defining equations of reflection arrangements
arXiv:1304.7202 · doi:10.1007/s10801-014-0539-0
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.
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