Frobenius splitting of certain rings of invariants

Mathematics – Algebraic Geometry

Scientific paper

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14 pages, latex

Scientific paper

Two classical rings of invariants are shown to be Frobenius split: for the
special linear group acting on the direct sum of several copies of the defining
representation and several copies of the dual of the defining representation;
and for the special orthogonal group acting on several copies of the defining
representation.

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