A brief review of abelian categorifications

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dc.creatorKhovanov, Mikhail
dc.creatorMazorchuk, Volodymyr
dc.creatorStroppel, Catharina
dc.date2007-02-25
dc.date2007-04-15
dc.date.accessioned2026-07-07T07:56:28Z
dc.date.available2026-07-07T07:56:28Z
dc.descriptionThis article contains a review of categorifications of semisimple representations of various rings via abelian categories and exact endofunctors on them. A simple definition of an abelian categorification is presented and illustrated with several examples, including categorifications of various representations of the symmetric group and its Hecke algebra via highest weight categories of modules over the Lie algebra sl(n). The review is intended to give non-experts in representation theory who are familiar with the topological aspects of categorification (lifting quantum link invariants to homology theories) an idea for the sort of categories that appear when link homology is extended to tangles.
dc.descriptionlatex, 35 pages, 4 eps figures
dc.identifierhttps://arxiv.org/abs/math/0702746
dc.identifierhttp://arxiv.org/abs/math/0702746
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127322
dc.subjectRepresentation Theory
dc.subjectCategory Theory
dc.subject18E10
dc.titleA brief review of abelian categorifications
dc.typetext

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