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Nilpotent Lie algebras of breadth type (0,3)

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dc.contributor.author Kundu, Rijubrata en_US
dc.contributor.author Naik, Tushar Kanta en_US
dc.contributor.author SINGH, ANUPAM en_US
dc.date.accessioned 2023-04-19T06:48:29Z
dc.date.available 2023-04-19T06:48:29Z
dc.date.issued 2023-03 en_US
dc.identifier.citation Communications in Algebra, 51(09), 3792-3809. en_US
dc.identifier.issn 0092-7872 en_US
dc.identifier.issn 1532-4125 en_US
dc.identifier.uri https://doi.org/10.1080/00927872.2023.2188416 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7721
dc.description.abstract For a natural number m, a Lie algebra L over a field k is said to be of breadth type (0,m) if the co-dimension of the centralizer of every non-central element is m. In this article, we classify finite dimensional nilpotent Lie algebras of breadth type (0,3) over F-q of odd characteristic up to isomorphism. We also give a partial classification of the same over finite fields of even characteristic, C and R. We also discuss 2-step nilpotent Camina Lie algebras. en_US
dc.language.iso en en_US
dc.publisher Tayor & Francis en_US
dc.subject Breadth type en_US
dc.subject Camina Lie algebras en_US
dc.subject nilpotent Lie algebras en_US
dc.subject 2023-APR-WEEK1 en_US
dc.subject TOC-APR-2023 en_US
dc.subject 2023 en_US
dc.title Nilpotent Lie algebras of breadth type (0,3) en_US
dc.type Article en_US
dc.contributor.department Dept. of Mathematics en_US
dc.identifier.sourcetitle Communications in Algebra en_US
dc.publication.originofpublisher Foreign en_US


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