Conference abstracts
Session S11 - Representations of Algebras
July 25, 17:30 ~ 18:10
On the representation theory of the partition algebra
Rosa Orellana
Dartmouth College, USA - Rosa.C.Orellana@dartmouth.edu
The partition algebra was defined independently by Martin and Jones in the mid 1990s. In this talk I will discuss the representation theory of this algebra and how it connects to the representation theory of the symmetric group. In particular, I will show how the representation theory of the partition algebra is connected to the problem of decomposing the tensor product of irreducible representations of the symmetric group into irreducibles.