University of Sydney Algebra Seminar

Zajj Daugherty (University of Wisconsin)

Friday 7th August, 12.05-12.55pm, Carslaw 375

Two boundary graded centralizer algebras

Two boundary diagram algebras (e.g. graded braid groups, Hecke algebras, Brauer algebras) arise as tensor power centralizer algebras, algebras of commuting operators for a Lie group action on a tensor space, and show ties to already familiar objects. In particular, one two boundary centralizer algebra in type A is isomorphic to a graded Hecke algebra for a reflection group of type C. In this talk, I will construct this algebra, discuss its representations and their combinatorial structure, and provide its relation to type C objects.