University of Sydney Algebra Seminar

Kevin Coulembier (University of Sydney)

Friday 14 October, 12-1pm, Place: Carslaw 375

The periplectic Brauer algebra

An analogue of the Brauer algebra was introduced by Moon to study invariant theory for the periplectic Lie superalgebra. This algebra is not cellular in the sense of Graham and Lehrer, but has an interesting structure of a standardly based algebra, in the sense of Du and Rui. Starting from this structure we study representations and cohomology for this algebra. As an application we obtain the block decomposition of the category of finite dimensional modules over the periplectic Lie superalgebra.