Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac-Moody algebras
arXiv:2004.08943 · doi:10.1016/j.indag.2021.06.008
Abstract
We study equivariant localization of intersection cohomology complexes on Schubert varieties in Kashiwara's flag manifold. Using moment graph theory, we establish a link to the representation theory of Kac-Moody algebras and give a new proof of the Kazhdan-Lusztig conjecture for blocks containing an antidominant element.
Submitted version. Typos corrected, proof of the KL conjecture expanded