Internal labelling operators and contractions of Lie algebras

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dc.contributor.authorCampoamor Stursberg, Otto-Rudwig
dc.date.accessioned2023-06-20T10:34:42Z
dc.date.available2023-06-20T10:34:42Z
dc.date.issued2007
dc.description.abstractWe analyze under which conditions the missing label problem associated to a reduction chain s′ ⊂ s of (simple) Lie algebras can be completely solved by means of an In¨on¨u-Wigner contraction g naturally related to the embedding. This provides a new interpretation of the missing label operators in terms of the Casimir operators of the contracted algebra, and shows that the available labeling operators are not completely equivalent. Further, the procedure is used to obtain upper bounds for the number of invariants of affine Lie algebras arising as contractions of semisimple algebras.en
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 y Ciencia
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21188
dc.identifier.doi10.1088/1751-8113/40/49/011
dc.identifier.issn1751-8113
dc.identifier.officialurlhttps//doi.org/10.1088/1751-8113/40/49/011
dc.identifier.relatedurlhttp://iopscience.iop.org/1751-8121/40/49/011/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50621
dc.issue.number49
dc.journal.titleJournal of physics A: Mathematical and theoretical
dc.language.isoeng
dc.page.final14790
dc.page.initial14773
dc.publisherIOP Publishing Ltd
dc.relation.projectIDMTM2006-09152
dc.rights.accessRightsopen access
dc.subject.cdu512.554.3
dc.subject.keywordLie group
dc.subject.keywordIrreducible representation
dc.subject.keywordMultiplets
dc.subject.keywordSubgroup embedding
dc.subject.keywordLabelling operators
dc.subject.keywordWigner supermultiplet model
dc.subject.keywordMissing label problem
dc.subject.keywordCasimir operators
dc.subject.keywordContracted algebra
dc.subject.keywordInönü-Wigner contraction
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleInternal labelling operators and contractions of Lie algebrasen
dc.typejournal article
dc.volume.number40
dspace.entity.typePublication
relation.isAuthorOfPublication72801982-9f3c-4db0-b765-6e7b4aa2221b
relation.isAuthorOfPublication.latestForDiscovery72801982-9f3c-4db0-b765-6e7b4aa2221b
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