Bosonic and Fermionic Representations of Lie Algebra Central Extensions

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dc.creatorLau, Michael
dc.date2004-05-29
dc.date.accessioned2026-07-07T05:08:44Z
dc.date.available2026-07-07T05:08:44Z
dc.descriptionGiven any representation of an arbitrary Lie algebra L over a field k of characteristic 0, we construct representations of L on bosonic and fermionic Fock space. The method gives an explicit formula for a (sometimes trivial) 2-cocycle in H^2(L;k). We illustrate these techniques with several concrete examples.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/math/0405576
dc.identifierhttp://arxiv.org/abs/math/0405576
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71381
dc.subjectRepresentation Theory
dc.subjectMathematical Physics
dc.subject17B10 (Primary) 17B56, 17B65, 17B68 (Secondary)
dc.titleBosonic and Fermionic Representations of Lie Algebra Central Extensions
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