Journal Home Page

Cumulative Index

List of all Volumes

Complete Contents
of this Volume

Previous Article

Next Article

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, Universitšt 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.

[ Fulltext-pdf  (215  KB)]