Emmy-Noether-Seminar: The projective functors on the category O

The projective functors on the category O

Xinrui You (Freiburg)

Abstract: Bernstein and Gelfand classified the projective functors (i.e. direct summands of the tensor by a finite dimensional representation) on the category of Z-finite modules in 1980. We will discuss the restriction of the projective functors on the category O, and the connection to Soergel bimodules.