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math.RT2012
Hall-Littlewood polynomials and vector bundles on the Hilbert scheme
Erik Carlsson
Let be the bundle defined by applying a polynomial representation of to the tautological bundle on the Hilbert scheme of points in the complex plane. By a result of…
math.RT2008
Symmetric Functions and Caps
Erik Carlsson
Given a finite subset S in F_p^d, let a(S) be the number of distinct r-tuples (x_1,...,x_r) in S such that x_1+...+x_r = 0. We consider the "moments" F(m,n) = sum_|S|=n a(S)^m. Spe…