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Integrals, quantum Galois extensions and the affineness criterion for quantum Yetter-Drinfel'd modules

C. Menini·G. Militaru
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Abstract

We introduce and study a general concept of integral of a threetuple (H, A, C), where H is a Hopf algebra acting on a coalgebra C and coacting on an algebra A. In particular, quantum integrals associated to Yetter-Drinfel'd modules are defined. Let A be an H-bicomodule algebra, $^H {\cal YD}_A$ be the category of (generalized) Yetter-Drinfel'd modules and $B$ the subalgebra of coinvariants of the Verma structure of $A$. We introduce the concept of quantum Galois extensions and we prove the affineness criterion in a quantum version.

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BibTeXRIS

C. Menini, G. Militaru. 2001-06-10. Integrals, quantum Galois extensions and the affineness criterion for quantum Yetter-Drinfel'd modules. https://doi.org/10.1006/jabr.2001.8899

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