Mathematics at Leeds University

Paul Martin's Algebra Projects Links Page

Representation theory of the symmetric group

Here we take the general machinery of ring theory and representation theory and apply it to a specific (infinite but unified) collection of problems. The symmetric group lies at the heart of the connection between algebra and combinatorics, and the project also requires the student to make use of this connection. The representation theory of the symmetric groups over the complex field is a hard problem, but is quite well understood and treated in the research literature. It leads, however, to a number of beautiful open problems.

Additional Notes For MSc students: * Connection with existing MSc courses that the students will have met. Ring theory, commutative algebra, algebraic geometry, algebras and representations

Project themes:

Links: (meanwhile, if you are interested, just ask me!).