English

Localizations for quiver Hecke algebras II

Representation Theory 2022-08-18 v1 Quantum Algebra

Abstract

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

Cite

@article{arxiv.2208.01255,
  title  = {Localizations for quiver Hecke algebras II},
  author = {Masaki Kashiwara and Myungho Kim and Se-jin Oh and Euiyong Park},
  journal= {arXiv preprint arXiv:2208.01255},
  year   = {2022}
}

Comments

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.

R2 v1 2026-06-25T01:24:12.259Z