University of Sydney Algebra Seminar

Michael Ehrig (University of Sydney)

Friday 19 May, 12-1pm, Place: Carslaw 375

The periplectic Brauer algebra and its Deligne category

We describe the decomposition multiplicities of projective and cell modules of the periplectic Brauer algebra using certain versions of skew Young diagrams. If time permits we will link these to combinatorics for the periplectic Lie superalgebra. Furthermore we use these results to classify thick tensor ideals in the periplectic version of the Deligne category and construct a categorical representation of an infinite Temperley-Lieb algebra on the Deligne category. This in turns allows us to describe summands in tensor powers of the natural representation of the periplectic Lie superalgebra. This is joint work with Kevin Coulembier.