Finitary Galois extensions over noncommutative bases

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dc.creatorBalint, I.
dc.creatorSzlachanyi, K.
dc.date2004-12-06
dc.date.accessioned2026-07-07T05:15:00Z
dc.date.available2026-07-07T05:15:00Z
dc.descriptionWe study Galois extensions Coinv(M)<M for M an H-comodule algebra and H a Frobenius Hopf algebroid. We obtain generalizations of various theorems in Hopf-Galois theory by Kreimer-Takeuchi, Doi-Takeuchi and Cohen-Fischman-Montgomery. An algebra extension is Galois precisely if it is balanced, depth 2, and Frobenius. Then we show that Yetter-Drinfeld categories over H are always braided and their braided commutative algebras play the role of noncommutative scalar extensions by the Brzezinski-Militaru Theorem. Contravariant "fiber functors" are used to prove an analogue of Ulbrich's Theorem and to get a monoidal embedding of the category of modules over the endomorphism Hopf algebroid E=End(_N M_N).
dc.description31 pages AMS Latex
dc.identifierhttps://arxiv.org/abs/math/0412122
dc.identifierhttp://arxiv.org/abs/math/0412122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73500
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject13B05;16W30
dc.titleFinitary Galois extensions over noncommutative bases
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