Generalized Hopf Modules for bimonads
Category Theory
2012-12-17 v1 Rings and Algebras
Abstract
Brugui\`eres, Lack and Virelizier have recently obtained a vast generalization of Sweedler's Fundamental Theorem of Hopf modules, in which the role of the Hopf algebra is played by a bimonad. We present an extension of this result which involves, in addition to the bimonad, a comodule-monad and a algebra-comonoid over it. As an application we obtain a generalization of another classical theorem from the Hopf algebra literature, due to Schneider, which itself is an extension of Sweedler's result (to the setting of Hopf Galois extensions).
Cite
@article{arxiv.1212.3539,
title = {Generalized Hopf Modules for bimonads},
author = {Marcelo Aguiar and Stephen U. Chase},
journal= {arXiv preprint arXiv:1212.3539},
year = {2012}
}