Publication: Non-solvable contractions of semisimple Lie algebras in low dimension
dc.contributor.author | Campoamor-Stursberg, Rutwig | |
dc.date.accessioned | 2023-06-20T10:35:00Z | |
dc.date.available | 2023-06-20T10:35:00Z | |
dc.date.issued | 2007 | |
dc.description.abstract | The 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.department | Depto. de Álgebra, Geometría y Topología | |
dc.description.faculty | Fac. de Ciencias Matemáticas | |
dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
dc.description.refereed | TRUE | |
dc.description.sponsorship | Ministerio de Educación y Ciencia de España | |
dc.description.status | pub | |
dc.eprint.id | https://eprints.ucm.es/id/eprint/21389 | |
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dc.identifier.doi | 10.1088/1751-8113/40/20/008 | |
dc.identifier.issn | 0305-4470 | |
dc.identifier.officialurl | http://iopscience.iop.org/1751-8121/40/20/008/ | |
dc.identifier.relatedurl | http://iopscience.iop.org/ | |
dc.identifier.uri | https://hdl.handle.net/20.500.14352/50649 | |
dc.issue.number | 20 | |
dc.journal.title | Journal of physics A: Mathematical and general | |
dc.language.iso | eng | |
dc.page.final | 5372 | |
dc.page.initial | 5355 | |
dc.publisher | IOP Publishing | |
dc.relation.projectID | MTM2006-09152 | |
dc.rights.accessRights | open access | |
dc.subject.cdu | 512.554.3 | |
dc.subject.keyword | Lie algebra | |
dc.subject.keyword | contraction | |
dc.subject.keyword | deformation | |
dc.subject.keyword | Levi decomposition | |
dc.subject.ucm | Álgebra | |
dc.subject.unesco | 1201 Álgebra | |
dc.title | Non-solvable contractions of semisimple Lie algebras in low dimension | |
dc.type | journal article | |
dc.volume.number | 40 | |
dspace.entity.type | Publication |
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