| Title: |
Lower bound for ranks of invariant forms |
| Authors: |
Derksen, Harm, Teitler, Zach |
| Publication Year: |
2014 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Algebraic Geometry, 15A21, 14N15 |
| More Details: |
We give a lower bound for the Waring rank and cactus rank of forms that are invariant under an action of a connected algebraic group. We use this to improve the Ranestad--Schreyer--Shafiei lower bounds for the Waring ranks and cactus ranks of determinants of generic matrices, Pfaffians of generic skew-symmetric matrices, and determinants of generic symmetric matrices.
Comment: 13 pages |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/1409.0061 |
| Accession Number: |
edsarx.1409.0061 |
| Database: |
arXiv |
