Oliver Club

Iva HalachevaHebrew University
Schur-Weyl duality for Lie superalgebras

Thursday, February 1, 2018 - 4:00pm
Malott 532

In classical Schur-Weyl duality, the Lie algebra $\mathfrak{gl}(n)$ is studied by relating the endomorphism algebra of $d$ tensor copies of its vector representation to the symmetric group on $d$ letters. Arakawa and Suzuki extended this to more general $\mathfrak{gl}(n)$-representations by upgrading the symmetric group to the degenerate affine Hecke algebra. This approach provides a diagrammatic perspective on the representation theory and can be also applied to $\mathfrak{sp}(2n)$ and $\mathfrak{so}(n)$, where the Brauer algebra replaces the symmetric group. We will recall this classic story and then move towards the periplectic Lie superalgebra.

Refreshments will be served at 3:30 PM.