Localizations for quiver Hecke algebras II

Abstract

We prove that the localization of the monoidal category ${\mathcal{C}}_w$ is rigid, and the category ${\mathcal{C}}_{w,v}$ admits a localization via a real commuting family of central objects. Note that the localization of ${\mathcal{C}}_{w,v}$ categorifies the open Richardson variety.

58 pages. This paper is a continuation of the former paper arXiv:1901.09319. Some parts of the preliminary sections recall materials from the former paper.