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Steenrod structures on categorified quantum groups


Cooper, Benjamin; Beliakova, Anna (2018). Steenrod structures on categorified quantum groups. Fundamenta Mathematicae, 241(2):179-207.

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.

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.

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Additional indexing

Item Type:Journal Article, not_refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Algebra and Number Theory
Language:English
Date:2018
Deposited On:23 Mar 2018 14:54
Last Modified:19 May 2024 01:37
Publisher:Polska Akademia Nauk, Instytut Matematyczny
ISSN:0016-2736
OA Status:Green
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.4064/fm307-3-2017
  • Content: Accepted Version
  • Language: English