Nilpotent Lie algebras with two centralizer dimensions over a finite field

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dc.contributor.authorKundu, Rijubrataen_US
dc.contributor.authorNaik, Tushar Kantaen_US
dc.contributor.authorSINGH, ANUPAM KUMARen_US
dc.contributor.departmentDept. of Mathematicsen_US
dc.date.accessioned2023-08-31T12:40:00Z
dc.date.available2023-08-31T12:40:00Z
dc.date.issued2023-11en_US
dc.description.abstractA result of Barnea and Isaacs states that if L is a finite dimensional nilpotent Lie algebra with exactly two distinct centralizer dimensions, then nilpotency class of L is either 2 or 3. In this article, we classify all such finite dimensional 3-step nilpotent Lie algebras over a finite field.en_US
dc.identifier.citationJournal of Algebra, 633, 362-388.en_US
dc.identifier.issn0021-8693en_US
dc.identifier.issn1090-266Xen_US
dc.identifier.sourcetitleJournal of Algebraen_US
dc.identifier.urihttps://doi.org/10.1016/j.jalgebra.2023.06.013
dc.identifier.urihttp://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8166
dc.language.isoenen_US
dc.publication.originofpublisherForeignen_US
dc.publisherElsevier B.V.en_US
dc.subjectNilpotent Lie algebrasen_US
dc.subjectBreadth typeen_US
dc.subjectSemifieldsen_US
dc.subject2023-AUG-WEEK4en_US
dc.subjectTOC-AUG-2023en_US
dc.subject2023en_US
dc.titleNilpotent Lie algebras with two centralizer dimensions over a finite fielden_US
dc.typeArticleen_US

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