Browsing Combinatorics and Optimization by Subject "representation theory"

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Character Polynomials and Lagrange Inversion

Rattan, Amarpreet (University of Waterloo, 2005)

In this thesis, we investigate two expressions for symmetric group characters: Kerov?s universal character polynomials and Stanley?s character polynomials. We give a new explicit form for Kerov?s polynomials, which ...
Partition Algebras and Kronecker Coefficients

Marcott, Cameron (University of Waterloo, 2015-08-28)

Classical Schur-Weyl duality relates the representation theory of the general linear group to the representation theory of the symmetric group via their commuting actions on tensor space. With the goal of studying Kronecker ...