Publication:
Non-solvable contractions of semisimple Lie algebras in low dimension

dc.contributor.authorCampoamor-Stursberg, Rutwig
dc.date.accessioned2023-06-20T10:35:00Z
dc.date.available2023-06-20T10:35:00Z
dc.date.issued2007
dc.description.abstractThe problem of non-solvable contractions of Lie algebras is analyzed. By means of a stability theorem, the problem is shown to be deeply related to the embeddings among semisimple Lie algebras and the resulting branching rules for representations. With this procedure, we determine all deformations of indecomposable Lie algebras having a nontrivial Levi decomposition onto semisimple Lie algebras of dimension n ≤ 8, and obtain the non-solvable contractions of the latter class of algebras
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 de España
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/21389
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dc.identifier.doi10.1088/1751-8113/40/20/008
dc.identifier.issn0305-4470
dc.identifier.officialurlhttp://iopscience.iop.org/1751-8121/40/20/008/
dc.identifier.relatedurlhttp://iopscience.iop.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/50649
dc.issue.number20
dc.journal.titleJournal of physics A: Mathematical and general
dc.language.isoeng
dc.page.final5372
dc.page.initial5355
dc.publisherIOP Publishing
dc.relation.projectIDMTM2006-09152
dc.rights.accessRightsopen access
dc.subject.cdu512.554.3
dc.subject.keywordLie algebra
dc.subject.keywordcontraction
dc.subject.keyworddeformation
dc.subject.keywordLevi decomposition
dc.subject.ucmÁlgebra
dc.subject.unesco1201 Álgebra
dc.titleNon-solvable contractions of semisimple Lie algebras in low dimension
dc.typejournal article
dc.volume.number40
dspace.entity.typePublication
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