Hopfological algebra and categorification at a root of unity: the first steps

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dc.creatorKhovanov, Mikhail
dc.date2005-09-04
dc.date2006-03-25
dc.date.accessioned2026-07-07T06:42:56Z
dc.date.available2026-07-07T06:42:56Z
dc.descriptionAny finite-dimensional Hopf algebra H is Frobenius and the stable category of H-modules is triangulated monoidal. To H-comodule algebras we assign triangulated module-categories over the stable category of H-modules. These module-categories are generalizations of homotopy and derived categories of modules over a differential graded algebra. We expect that, for suitable H, our construction could be a starting point in the program of categorifying quantum invariants of 3-manifolds.
dc.description30 pages, latex, this version contains very minor corrections
dc.identifierhttps://arxiv.org/abs/math/0509083
dc.identifierhttp://arxiv.org/abs/math/0509083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102227
dc.subjectQuantum Algebra
dc.subject18G60
dc.titleHopfological algebra and categorification at a root of unity: the first steps
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