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arxiv: 0902.3811 · v1 · submitted 2009-02-23 · 🧮 math.AG · math.AC

Frobenius splitting of certain rings of invariants

classification 🧮 math.AG math.AC
keywords copiesdefiningrepresentationseveralactingfrobeniusgroupinvariants
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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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