EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 12, No. 2, pp. 539--549 (2002)

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

Matthias Franz

Matthias Franz
Fachbereich Mathematik
und Statistik
Universität Konstanz
Postfach D202
78457 Konstanz

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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Electronic fulltext finalized on: 6 May 2002. This page was last modified: 21 May 2002.

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