Unique factorization of tensor products for finite dimensional simple Lie algebras

שלחו לחבר
Dr. R. Venkatesh (Weizmann Institute of Science)
11/11/2015 - 11:30 - 10:30
Third floor seminar room

Suppose V is a finite dimensional representation of a complex finite dimensional simple Lie algebra that can be written as a tensor product of irreducible representations. A theorem of C.S. Rajan states that the non-trivial irreducible factors that occur in the tensor product factorization of V are uniquely determined, up to reordering, by the isomorphism class of V. I will present an elementary proof of Rajan's theorem. This is a joint work with S.Viswanath.