Algebra Seminar: Coulembier -- The periplectic Brauer algebra

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.