Expansions of algebras and superalgebras and some applications

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dc.creatorde Azcarraga, J. A.
dc.creatorIzquierdo, J. M.
dc.creatorPicon, M.
dc.creatorVarela, O.
dc.date2007-03-02
dc.date.accessioned2026-07-07T11:59:41Z
dc.date.available2026-07-07T11:59:41Z
dc.descriptionAfter reviewing the three well-known methods to obtain Lie algebras and superalgebras from given ones, namely, contractions, deformations and extensions, we describe a fourth method recently introduced, the expansion of Lie (super)algebras. Expanded (super)algebras have, in general, larger dimensions than the original algebra, but also include the Inonu-Wigner and generalized IW contractions as a particular case. As an example of a physical application of expansions, we discuss the relation between the possible underlying gauge symmetry of eleven-dimensional supergravity and the superalgebra osp(1|32).
dc.descriptionInvited lecture delivered at the 'Deformations and Contractions in Mathematics and Physics Workshop', 15-21 January 2006, Mathematisches Forschungsinstitut Oberwolfach, Germany
dc.identifierhttps://arxiv.org/abs/hep-th/0703017
dc.identifierhttp://arxiv.org/abs/hep-th/0703017
dc.identifierInt.J.Theor.Phys.46:2738-2752,2007
dc.identifierdoi:10.1007/s10773-007-9385-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/206651
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectGeneral Mathematics
dc.subjectGroup Theory
dc.titleExpansions of algebras and superalgebras and some applications
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