Please use this identifier to cite or link to this item: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7721
Title: Nilpotent Lie algebras of breadth type (0,3)
Authors: Kundu, Rijubrata
Naik, Tushar Kanta
SINGH, ANUPAM
Dept. of Mathematics
Keywords: Breadth type
Camina Lie algebras
nilpotent Lie algebras
2023-APR-WEEK1
TOC-APR-2023
2023
Issue Date: Mar-2023
Publisher: Tayor & Francis
Citation: Communications in Algebra, 51(09), 3792-3809.
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.
URI: https://doi.org/10.1080/00927872.2023.2188416
http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7721
ISSN: 0092-7872
1532-4125
Appears in Collections:JOURNAL ARTICLES

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