Geodesic
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
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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 
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     author = {H. Narayanan and C. S. Rajan},
     title = {On a {Convexity} {Property} of {Tensor} {Products} of {Irreducible,} {Rational} {Representations} of {SL(n)}},
     journal = {Journal of Lie theory},
     pages = {23--28},
     year = {2022},
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H. Narayanan; C. 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/JLT_2022_32_1_JLT_2022_32_1_a1/