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.
Original language | American English |
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Journal | Mathematics Faculty Publications and Presentations |
State | Published - 1 Dec 2015 |
Keywords
- 14N15
- 15A21
EGS Disciplines
- Mathematics