Department of Mathematics

Indian Institute Of Technology Madras , Chennai
  • Mathematics Department Shifted to NAC Office of the Department of Mathematics is moved from HSB to New Academic Complex (NAC) 5th and 6th Floor

Unique factorization of tensor products for finitedimensional simple Lie algebras

Speaker : Dr. R. Venkatesh


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
External Link None