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.

Department of Mathematical Sciences
George Mason University
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