Department of Mathematics

Indian Institute Of Technology Madras , Chennai

Unique factorization of tensor products for finitedimensional simple Lie algebras

Abstract :

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 nontrivial 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.

Key Speaker Dr. R. Venkatesh
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM