MA 796 ALGEBRAIC COMBINATORICS

TEXT: The Symmetric Group by Bruce Sagan

REFERENCES: Symmetric functions and Hall polynomials by Ian Macdonald
Enumerative Combinatorics I and II by Richard Stanley

Representations of finite groups and characters. The irreducible modules for the symmetric group. Young subgroups. Tableaux. Kostka numbers. Combinatorial algorithms including Robinson-Schensted, Jeu de Taquin and others. Symmetric functions. Schur functions. Littlewood-Richardson rule.

The grade will be based on a presentation.