Representations of the Symmetric group and Young Tableaux
Course description:
This course will develop the representation theory of the
symmetric group from a combinatorial perspective. I intend
to construct the irreducible representations and study
their tensor-product decompositions, as well as develop the
combinatorial theory of symmetric functions and Young Tableaux.
Possible further topics include the Hecke algebra and
quasisymmetric functions.
Text:
Bruce Sagan, "The Symmetric Group: Representations,
Combinatorial Algorithms, and Symmetric Function",
Springer Verlag (Graduate Texts in Mathematics, 2003)
Prerequisites:
First semester Graduate Algebra (but a decent student with
undergraduate algebra and mathematical maturity will do fine).