Unique decomposition of tensor products of irreducible representations of simple algebraic groups

2003/05/29 by C. S. Rajan, Rajan, C. S.
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #Primary 17B10 #Representation Theory (math.RT) #Secondary 22E46 #math.GR #math.RT #msc:17B10 #msc:22E46

paper · pdf · doi:10.48550/arxiv.math/0305417

23 pages, to appear in Annals of Mathematics

arxiv created 2003/05/29 · openalex publication_date 2003/05/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that a tensor product of irreducible, finite dimensional representations of a simple Lie algebra over a field of characteristic zero, determines the individual constituents uniquely. This is analogous to the uniqueness of prime factorisation of natural numbers.

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