Bibliographic Details
| Title: |
Power sum decompositions of defining equations of reflection arrangements |
| Authors: |
Teitler, Zach, Woo, Alexander |
| Source: |
J. Alg. Comb. 41 (2015), Issue 2, 365--383 |
| Publication Year: |
2013 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Algebraic Geometry, Mathematics - Commutative Algebra, Mathematics - Combinatorics, 15A21, 14N15, 20F55, 13A50, 15A69 |
| More Details: |
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.
Comment: 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 |
| Document Type: |
Working Paper |
| DOI: |
10.1007/s10801-014-0539-0 |
| Access URL: |
http://arxiv.org/abs/1304.7202 |
| Accession Number: |
edsarx.1304.7202 |
| Database: |
arXiv |
