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

2021/06/09 by Hariharan Narayanan, Narayanan, Hariharan, C. S. Rajan +1
Mathematics · #05E10 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #FOS: Mathematics #Primary 20G05 #Representation Theory (math.RT) #Secondary 22E45

paper · pdf · doi:10.48550/arxiv.2106.05028

openalex publication_date 2021/06/09 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28

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).

Citations

• Convexity Properties of the Moment Mapping Re-examined

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