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

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.

Authors

C. S. Rajan

School of Mathematics
Tata Institute of Fundamental Research
Bombay
India