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Steenrod structures on categorified quantum groups

Volume 241 / 2018

Anna Beliakova, Benjamin Cooper 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.

Authors

  • Anna BeliakovaInstitut für Mathematik
    Universität Zürich
    Winterthurerstrasse 190
    CH-8057 Zürich, Switzerland
    e-mail
  • Benjamin CooperDepartment of Mathematics
    University of Iowa
    14 MacLean Hall
    Iowa City, IA 52242-1419, U.S.A.
    e-mail

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