Modules over invertible 1-cocycles

Authors

José Manuel FERNÁNDEZ VILABOAFollow
Ramon GONZALEZ RODRIGUEZFollow
BRAIS RAMOS PÉREZFollow
ANA BELÉN RODRÍGUEZ RAPOSOFollow

Abstract

In this paper, we introduce in a braided setting the notion of left module for an invertible 1-cocycle and we prove some categorical equivalences between categories of modules associated to an invertible 1-cocycle and categories of modules associated to Hopf braces.

DOI

10.55730/1300-0098.3504

Keywords

Braided monoidal category, Hopf algebra, Hopf brace, invertible 1-cocycles, module

First Page

248

Last Page

266

Recommended Citation

FERNÁNDEZ VILABOA, J, GONZALEZ RODRIGUEZ, R, RAMOS PÉREZ, B, & RODRÍGUEZ RAPOSO, A (2024). Modules over invertible 1-cocycles. Turkish Journal of Mathematics 48 (2): 248-266. https://doi.org/10.55730/1300-0098.3504