Abstract
In this paper we construct an action of the affine Hecke category (in its ‘Soergel bimodules’ incarnation) on the principal block of representations of a simply connected semisimple algebraic group over an algebraically closed field of characteristic bigger than the Coxeter number. This confirms a conjecture of G. Williamson and the second author, and provides a new proof of the tilting character formula in terms of antispherical$p$-Kazhdan–Lusztig polynomials.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have