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arXiv · 1212.3539

Generalized Hopf Modules for bimonads

Marcelo Aguiar·Stephen U. Chase
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Abstract

Bruguières, 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).

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Marcelo Aguiar, Stephen U. Chase. 2012-12-14. Generalized Hopf Modules for bimonads. https://arxiv.org/abs/1212.3539

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