Stable anti-Yetter-Drinfeld modules

Details Stable anti-Yetter-Drinfeld modules Stable anti-Yetter-Drinfeld modules

2004-05-03

arxiv.org/abs/math/0405005v1

C. R. Acad. Sci. Paris, Ser. I, 338 (2004) 587-590

Mathematics

Quantum Algebra

Scientific paper

We define and study a class of entwined modules (stable anti-Yetter-Drinfeld modules) that serve as coefficients for the Hopf-cyclic homology and cohomology. In particular, we explain their relationship with Yetter-Drinfeld modules and Drinfeld doubles. Among sources of examples of stable anti-Yetter-Drinfeld modules, we find Hopf-Galois extensions with a flipped version of the Miyashita-Ulbrich action.

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