Steenrod Structures on Categorified Quantum Groups (1304.7152v1)

Published 26 Apr 2013 in math.QA

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.

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