Schur functors
Andrius: I want to take a fresh look at the combinatorics of the symmetric functions of the eigenvalues of a matrix. This appears in the representations of classical Lie groups.
Characters of representations of the general linear group are given by Schur polynomials. {$\chi_\lambda(g)=s_\lambda(x_1,\cdots,x_n)$} where {$x_1,\cdots,x_n$} are the eigenvalues of {$g\in GL(n,\mathbb{C})$}.