Adjoint cohomology of graded Lie algebras of maximal class

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dc.creatorMillionschikov, Dmitri
dc.date2007-09-16
dc.date.accessioned2026-07-07T08:29:53Z
dc.date.available2026-07-07T08:29:53Z
dc.descriptionWe compute explicitly the adjoint cohomology of two N-graded Lie algebras of maximal class (infinite dimensional filiform Lie algebras) m_0 and m_2. It is known that up to an isomorphism there are only three N-graded Lie algebras of the maximal class. The third algebra from this list is the "positive" part L_1 of the Witt (or Virasoro) algebra and its adjoint cohomology was computed earlier by Feigin and Fukhs. We show that the total space H*(m_j,m_j) is "almost" isomorphic to the completed tensor product of the algebra m_j by scalar cohomology space H^*(m_j), j=0,2.
dc.identifierhttps://arxiv.org/abs/0709.2468
dc.identifierhttp://arxiv.org/abs/0709.2468
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138097
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject17B56; 17B70
dc.titleAdjoint cohomology of graded Lie algebras of maximal class
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