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Lower bound for ranks of invariant forms
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 page
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