The Deformation Complex For DG Hopf Algebras

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dc.creatorUmble, Ronald
dc.date2001-06-29
dc.date2002-09-11
dc.date.accessioned2026-07-07T04:42:24Z
dc.date.available2026-07-07T04:42:24Z
dc.descriptionLet H be a differential graded Hopf algebra over a field k. This paper gives an explicit construction of a triple cochain complex that defines the Hochschild-Cartier cohomology of H. A certain truncation of this complex is the appropriate setting for deforming H as an H(q)-structure. The direct limit of all such truncations is the appropriate setting for deforming H as a strongly homotopy associative structure. Sign complications are systematically controlled. The connection between rational perturbation theory and the deformation theory of certain free commutative differential graded algebras is clarified.
dc.description21 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0106266
dc.identifierhttp://arxiv.org/abs/math/0106266
dc.identifierJ. Pure and Applied Algebra, 106 (1966), 199-222
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61768
dc.subjectAlgebraic Topology
dc.subjectCommutative Algebra
dc.subjectRings and Algebras
dc.subject16W30; 13D10; 16E45; 55P62
dc.titleThe Deformation Complex For DG Hopf Algebras
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