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Lower bound for ranks of invariant forms

  • Harm Derksen [1] ; Zach Teitler [2]
    1. [1] University of Michigan–Ann Arbor

      University of Michigan–Ann Arbor

      City of Ann Arbor, Estados Unidos

    2. [2] Boise State University

      Boise State University

      Estados Unidos

  • Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 12 (December 2015), 2015, págs. 5429-5441
  • Idioma: inglés
  • DOI: 10.1016/j.jpaa.2015.05.025
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  • Resumen
    • 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.


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