Differential Calculi of Poincare-Birkhoff-Witt type on Universal Enveloping Algebras

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dc.creatorMartini, R.
dc.creatorPost, G. F.
dc.creatorKersten, P. H. M.
dc.date1995-06-09
dc.date1995-08-15
dc.date.accessioned2026-07-07T09:04:52Z
dc.date.available2026-07-07T09:04:52Z
dc.descriptionDifferential calculi of Poincare-Birkhoff-Witt type on universal enveloping algebras of Lie algebras g are defined. This definition turns out to be independent of the basis chosen in g. The role of automorphisms of g is explained. It is proved that no differential calculus of Poincare-Birkhoff-Witt type exists on semi-simple Lie algebras. Examples are given, namely gl_n, Abelian Lie algebras, the Heisenberg algebra, the Witt and the Virasoro algebra. Completely treated are the 2-dimensional solvable Lie algebra, and the 3-dimensional Heisenberg algebra.
dc.description11 pages, latex, no figures. \goth replaced by \frak
dc.identifierhttps://arxiv.org/abs/q-alg/9506010
dc.identifierhttp://arxiv.org/abs/q-alg/9506010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149534
dc.subjectQuantum Algebra
dc.titleDifferential Calculi of Poincare-Birkhoff-Witt type on Universal Enveloping Algebras
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