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Emil Sjöholm: Symmetric Polynomials and Tableaux

Time: Wed 2014-11-12 14.15 - 15.15

Location: Room 22, building 5, Kräftriket, Department of mathematics, Stockholm university

Supervisor: Rikard Bögvad

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This paper introduces different symmetric polynomials, ways to switch between these and how they are connected to the symmetric group. Furthermore we introduce λ-tableaux and Young tableaux and why these are important for the symmetric polynomials. Schur polynomials are defined in different ways and we give some nice identities regarding them. Lastly an example is given how the symmetric polynomials can be applied to representation theory.