Moment Polytopes of Projective G-Varieties and Tensor Products of Symmetric Group Representations

M. Franz

doi:10.5802/jolt.281

M. Franz

Journal of Lie Theory, Volume 12 (2002) no. 2, pp. 539-549

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.

EuDML Zbl

DOI: 10.5802/jolt.281

Classification: 14L30, 05E10, 20G05, 20C30

@article{JOLT_2002_12_2_a15,
     author = {M. Franz},
     title = {Moment {Polytopes} of {Projective} {G-Varieties} and {Tensor} {Products} of {Symmetric} {Group} {Representations}},
     journal = {Journal of Lie Theory},
     pages = {539--549},
     year = {2002},
     volume = {12},
     number = {2},
     doi = {10.5802/jolt.281},
     zbl = {1048.14030},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.281/}
}

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M. Franz. Moment Polytopes of Projective G-Varieties and Tensor Products of Symmetric Group Representations. Journal of Lie Theory, Volume 12 (2002) no. 2, pp. 539-549. doi: 10.5802/jolt.281

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