Central extensions of the families of quasi-unitary Lie algebras

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dc.creatorHerranz, F. J.
dc.creatorBueno, J. C. Pérez
dc.creatorSantander, M.
dc.date1998-01-08
dc.date.accessioned2026-07-07T10:54:55Z
dc.date.available2026-07-07T10:54:55Z
dc.descriptionThe most general possible central extensions of two whole families of Lie algebras, which can be obtained by contracting the special pseudo-unitary algebras su(p,q) of the Cartan series A_l and the pseudo-unitary algebras u(p,q), are completely determined and classified for arbitrary p,q. In addition to the su(p,q) and u({p,q}) algebras, whose second cohomology group is well known to be trivial, each family includes many non-semisimple algebras; their central extensions, which are explicitly given, can be classified into three types as far as their properties under contraction are involved. A closed expression for the dimension of the second cohomology group of any member of these families of algebras is given.
dc.description23 pages. Latex2e file
dc.identifierhttps://arxiv.org/abs/physics/9801008
dc.identifierhttp://arxiv.org/abs/physics/9801008
dc.identifierJ.Phys.A31:5327-5347,1998
dc.identifierdoi:10.1088/0305-4470/31/23/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185956
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleCentral extensions of the families of quasi-unitary Lie algebras
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