Algebra Seminar: Ehrig -- The periplectic Brauer algebra and its Deligne category

Michael Ehrig (University of Sydney) 

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

Title: The periplectic Brauer algebra and its Deligne category 

Abstract: 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.