Categorification of quantum symmetric pairs I
Huanchen Bao
University of Maryland, College Park, USAPeng Shan
Tsinghua University, Beijing, China, and Université Paris-Sud, Orsay, FranceWeiqiang Wang
University of Virginia, Charlottesville, USABen Webster
University of Waterloo and Perimeter Institute for Theoretical Sciences, Waterloo, Canada
![Categorification of quantum symmetric pairs I cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-qt-volume-9-issue-4.png&w=3840&q=90)
Abstract
We categorify a coideal subalgebra of the quantum group of by introducing a 2-category analogous to the one defined by Khovanov–Lauda–Rouquier, and show that self-dual indecomposable 1-morphisms categorify the canonical basis of this algebra. This allows us to define a categorical action of this coideal algebra on the categories of modules over cohomology rings of partial flag varieties and on the category of type B/C.
Cite this article
Huanchen Bao, Peng Shan, Weiqiang Wang, Ben Webster, Categorification of quantum symmetric pairs I. Quantum Topol. 9 (2018), no. 4, pp. 643–714
DOI 10.4171/QT/117