Speaker: Matt Douglass, National Science Foundation
A decomposition of tensor space and Schur-Weyl duality
Abstract: Schur-Weyl duality is a classical correspondence that relates irreducible subspaces of r-fold tensor space with representations of the r-th symmetric group that goes back to Schur’s thesis in 1927. In this talk I’ll discuss a natural refinement of Schur-Weyl duality that incorporates the action of an r-cycle on r-fold tensor space. This refinement leads to new questions about the combinatorics of representations of symmetric groups.Time: Friday, November 16, 2018, 3:30-4:20 p.m.
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
Tel. 703-993-1460, Fax. 703-993-1491