Journal of Lie Theory 12 (2002), No. 2, 539--549
Copyright Heldermann Verlag 2002
Moment Polytopes of Projective G-Varieties and Tensor Products of Symmetric Group Representations
Matthias Franz
Fachbereich Mathematik und Statistik, Universität Konstanz, 78457 Konstanz, Germany
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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