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arXiv:2106.05028 [math.RT]AbstractReferencesReviewsResources

On a convexity property of tensor products of irreducible, rational representations of $SL(n)$

Hariharan Narayanan, C. S. Rajan

Published 2021-06-09Version 1

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 $SL(n)$ 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 $SL(n)$.

Comments: 5 pages
Categories: math.RT
Subjects: 20G05, 22E45, 05E10
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