Zajj Daugherty (Dartmouth)

Title: The quasi-partition algebra 

Abstract: Several diagram algebras (like the group algebra of the symmetric group) arise via studying endomorphisms of tensor spaces that commute with other familiar groups or algebras (like the general linear group). The commutator relationships provide amazing tools for transferring representation theoretic information back and forth, and reveal beautiful combinatorial structure. In this talk, I will define the quasi-partition algebra, which arises as a centralizer algebra for the symmetric group. We will see how to recognize this algebra as a diagram algebra and explore some of its representation theory.