Cohomological aspects of Hopf algebra liftings
classification
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algebrahopfliftingsandruskiewitschaspectscocyclecocyclescohomological
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A recent result of ours [GM] shows that all Hopf algebra liftings of a given diagram in the sense of Andruskiewitsch and Schneider are cocycle deformations of each other. Here we develop a "non-abelian" cohomology theory, which gives a method for an explicit description of cocycles relevant to the lifting process.
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