MA 715, Representation Theory and the Symmetric Group.

This course serves as an introduction to representation theory. We will develop the basic ideas using the symmetric group as the main example. The course will include some new developments, including the Novelli-Pak-Stoyanovskii bijection of the hook formula, and recent applications to algebraic combinatorics.


TEXTBOOK: Bruce E. Sagan, The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, 2nd Edition, Graduate Texts in Mathematics, Volume 203, Springer-Verlag, 2000.

Prerequisite: A graduate course in linear algebra or permission of instructor.