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Casimir operators induced by the Maurer-Cartan equations

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dc.contributor.authorCampoamor Stursberg, Otto-Rudwig
dc.date.accessioned2023-06-20T10:34:39Z
dc.date.available2023-06-20T10:34:39Z
dc.date.issued2008
dc.description.abstractIt is shown that for inhomogeneous Lie algebras having only one Casimir operator, the latter can be explicitly constructed from the Maurer-Cartan equations by means of wedge products. It is further proved that this constraint imposes sharp bounds for the dimension of the representation R defining the semidirect product. The procedure is generalized to compute also the rational invariant of some Lie algebrasen
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.facultyInstituto de Matemática Interdisciplinar (IMI)
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Educación, Formación Profesional y Deportes (España)
dc.description.sponsorshipUniversidad Complutense de Madrid
dc.description.sponsorshipComunidad de Madrid
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21142
dc.identifier.doi10.1088/1751-8113/41/36/365207
dc.identifier.issn1751-8113
dc.identifier.officialurlhttps//doi.org/10.1088/1751-8113/41/36/365207
dc.identifier.relatedurlhttp://iopscience.iop.org/1751-8121/41/36/365207/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50617
dc.issue.number36
dc.journal.titleJournal of physics A: Mathematical and theoretical
dc.language.isoeng
dc.page.final16
dc.page.initial1
dc.publisherIOP Publishing Ltd
dc.relation.projectIDMTM2006-09152
dc.relation.projectIDCCG07-UCM/ESP-2922
dc.rights.accessRightsopen access
dc.subject.cdu512.554.3
dc.subject.keywordLie algebra
dc.subject.keywordCasimir operator
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleCasimir operators induced by the Maurer-Cartan equationsen
dc.typejournal article
dc.volume.number41
dspace.entity.typePublication
relation.isAuthorOfPublication72801982-9f3c-4db0-b765-6e7b4aa2221b
relation.isAuthorOfPublication.latestForDiscovery72801982-9f3c-4db0-b765-6e7b4aa2221b

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