Moment polytopes of projective {\bf G}-varieties and tensor products of symmetric group representations

Matthias Franz

Abstract: We present a new description of the moment polytope associated with a complex projective variety acted on by a reductive group. We apply this to give a short proof of certain inequalities due to Manivel and Strassen concerning the decomposition of (inner) tensor products of irreducible representations of the symmetric group, and to exhibit, in a concrete example, a complete system of inequalities.

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