CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
The representation theory of the partition algebra Chris Bowman, Paris 7
March 19, 2013 Math 350 2-3pm	Abstract We discuss the partition algebra as a setting for the study of row-removal phenomena for the symmetric group. We describe its representation theory in terms of a type A facet geometry. We then discuss applications to the Kronecker problem, in particular a uniform description of the Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.

The representation theory of the partition algebra

Chris Bowman, Paris 7

March 19, 2013

Math 350

2-3pm

Abstract

We discuss the partition algebra as a setting for the study of row-removal phenomena for the symmetric group. We describe its representation theory in terms of a type A facet geometry. We then discuss applications to the Kronecker problem, in particular a uniform description of the Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.