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

Hariharan Narayanan; C. S. Rajan

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arXiv · 2106.05028

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

Hariharan Narayanan·C. S. Rajan

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Abstract

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 $SL(n)$.

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BibTeX RIS

Hariharan Narayanan, C. S. Rajan. 2021-06-09. On a convexity property of tensor products of irreducible, rational representations of $SL(n)$. https://arxiv.org/abs/2106.05028

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