A decomposition of tensor space and Schur-Weyl duality

Speaker: Matt Douglass, National Science Foundation

Title: 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.

Place: Exploratory Hall, room 4106

Refreshments will be served at 3:00 p.m.