Non-solvable contractions of semisimple Lie algebras in low dimension

dc.contributor.authorCampoamor-Stursberg, Rutwig
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.sponsorshipMinisterio de Educación y Ciencia de España
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dc.journal.titleJournal of physics A: Mathematical and general
dc.publisherIOP Publishing
dc.rights.accessRightsopen access
dc.subject.keywordLie algebra
dc.subject.keywordLevi decomposition
dc.subject.unesco1201 Álgebra
dc.titleNon-solvable contractions of semisimple Lie algebras in low dimension
dc.typejournal article
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