Nilpotent Lie algebras of breadth type (0,3)

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	2023-04	en_US
dc.identifier.citation	Communications in Algebra.	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