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, José Manuel; GONZALEZ RODRIGUEZ, Ramon; RAMOS PÉREZ, BRAIS; and RODRÍGUEZ RAPOSO, ANA BELÉN (2024) "Modules over invertible 1-cocycles," Turkish Journal of Mathematics: Vol. 48: No. 2, Article 10. https://doi.org/10.55730/1300-0098.3504
Available at: https://journals.tubitak.gov.tr/math/vol48/iss2/10