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arXiv · 1806.07992

Equivariant Morita-Takeuchi Theory

Bastian Seifert
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Abstract

We introduce the notion of H-equivariant Morita-Takeuchi theory for coalgebras with symmetries given by a Hopf algebra H. A cohomology theory is introduced which classifies the possible lifts of coactions on coalgebras to corresponding comodules. An equivariant Picard groupoid is defined and its connection to the developed cohomology theory investigated.

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Bastian Seifert. 2018-06-20. Equivariant Morita-Takeuchi Theory. https://arxiv.org/abs/1806.07992

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