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Duality Between the Linear and Symmetric Groups
Student-Run Discrete Mathematics| Speaker: | Tom Denton, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Feb 21 2008, 3:10PM |
Description
I will present the classical Schur-Weyl duality between polynomial
representations of GL(n,F) and S(k). This fundamental construction in
algebraic combinatorics connects Lie theory, the representation theory of finite
groups, and the ring of symmetric polynomials. A bit of representation
theory will be assumed, but I will attempt to keep things as elementary as
possible.