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Duality Between the Linear and Symmetric Groups
Student-Run Discrete Math Seminar| Speaker: | Tom Denton, UC Davis |
| Location: | 2112 MSB |
| Start time: | Thu, Feb 21 2008, 3:10PM |
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.