Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4596160 | Journal of Pure and Applied Algebra | 2015 | 13 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Harm Derksen, Zach Teitler,