Steenrod structures on categorified quantum groups
Volume 241 / 2018
Fundamenta Mathematicae 241 (2018), 179-207
MSC: Primary 17B37; Secondary 55S10.
DOI: 10.4064/fm307-3-2017
Published online: 8 November 2017
Abstract
Categorified quantum groups play an increasing role in many areas of mathematics. The Steenrod algebra is a fundamental component of algebraic topology. We show that categorified quantum groups can be extended to module categories over the Steenrod algebra in a natural way. This yields an intepretation of the small quantum group by Khovanov and Qi.
