Lower Bound for Ranks of Invariant Forms

Harm Derksen, Zach Teitler

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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 languageAmerican English
JournalMathematics Faculty Publications and Presentations
StatePublished - 1 Dec 2015

Keywords

  • 14N15
  • 15A21

EGS Disciplines

  • Mathematics

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