Date:	Thu, February 11, 2016
Time:	10:45
Place:	Seminar Room (120), Research I

Abstract: The Schur functor, also known as Weyl's construction, plays an important role throughout representation theory and has a variety of applications, for example in the explicit construction of irreducible representations of the classical Lie algebras. In this talk, we will describe the construction with some examples, and then prove that the tensor power of an irreducible finite-dimensional representation of the symmetric group is isomorphic to a sum of Schur functors applied to that representation, a result known as Schur-Weyl duality.