Geodesic
On a Convexity Property of Tensor Products of Irreducible, Rational Representations of SL(n)
Hariharan Narayanan1 ; Conjeeveram S. Rajan2
1School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India
2School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India
Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 23-28

Voir la notice de l'article provenant de la source Heldermann Verlag

The aim of this note is to point out a convexity property with respect to the root lattice for the support of the highest weights that occur in a tensor product of irreducible rational representations of SL(n) (or more generally any Lie group over which the saturation property holds) over the complex numbers. The observation is a consequence of the convexity properties of the saturation cone and the validity of the saturation conjecture for SL(n).
Classification : 20G05, 22E45, 05E10
Mots-clés : Tensor products, SL(n), convexity

Hariharan Narayanan  1   ; Conjeeveram S. Rajan  2

1 School of Technology and Computer Science, Tata Institute of Fundamental Research, Mumbai, India
2 School of Mathematics, Tata Institute of Fundamental Research, Mumbai, India 
Hariharan Narayanan; Conjeeveram S. Rajan. On a Convexity Property of Tensor Products of Irreducible, Rational Representations of SL(n). Journal of Lie Theory, Tome 32 (2022) no. 1, pp. 23-28. http://geodesic.mathdoc.fr/item/JOLT_2022_32_1_a1/
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     journal = {Journal of Lie Theory},
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