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Steenrod Structures on Categorified Quantum Groups

Quantum Algebra 2013-04-29 v1

Abstract

Categorified quantum groups play an increasing role in quantum topology and representation theory. The Steenrod algebra is a fundamental component of algebraic topology. In this paper 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.

Keywords

Cite

@article{arxiv.1304.7152,
  title  = {Steenrod Structures on Categorified Quantum Groups},
  author = {Anna Beliakova and Benjamin Cooper},
  journal= {arXiv preprint arXiv:1304.7152},
  year   = {2013}
}

Comments

27 pages

R2 v1 2026-06-22T00:06:54.857Z