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

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

2003-05-29

arxiv.org/abs/math/0305417v1

Mathematics

Representation Theory

23 pages, to appear in Annals of Mathematics

Scientific paper

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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