Abelian and non-abelian second cohomologies of quantized enveloping algebras

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dc.creatorMasuoka, Akira
dc.date2007-08-15
dc.date2008-04-21
dc.date.accessioned2026-07-07T09:33:20Z
dc.date.available2026-07-07T09:33:20Z
dc.descriptionFor a class of pointed Hopf algebras including the quantized enveloping algebras, we discuss cleft extensions, cocycle deformations and the second cohomology. We present such a non-standard method of computing the abelian second cohomology that derives information from the non-abelian second cohomology classifying cleft extensions. As a sample computation, a quantum analogue of Whitehead's second lemma for Lie-algebra cohomology is proved.
dc.description40 Pages, the final version to appear in J. Algebra; mainly, typos corrected
dc.identifierhttps://arxiv.org/abs/0708.1982
dc.identifierhttp://arxiv.org/abs/0708.1982
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159096
dc.subjectQuantum Algebra
dc.subject16W30; 17B37
dc.titleAbelian and non-abelian second cohomologies of quantized enveloping algebras
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