Abelian subalgebras and ideals of maximal dimension in supersolvable and nilpotent lie algebras

Autor:	David A. Towers
Rok vydání:	2020
Předmět:	Mathematics::Group Theory Pure mathematics Nilpotent Mathematics::Combinatorics Algebra and Number Theory Mathematics::Commutative Algebra Dimension (vector space) Mathematics::Rings and Algebras Lie algebra Abelian group Mathematics::Representation Theory Mathematics
Zdroj:	Linear and Multilinear Algebra. 70:2551-2568
ISSN:	1563-5139 0308-1087
DOI:	10.1080/03081087.2020.1805399
Popis:	In this paper, we continue the study of abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable and nilpotent Lie algebras. We show that supersolvable Lie algebras with an abelian subalgebra of codimension 3 contain an abelian ideal with the same dimension, provided that the characteristic of the underlying field is not two, and that the same is true for nilpotent Lie algebras with an abelian subalgebra of codimension 4, provided that the char- acteristic of the field is greater than five.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97ccda83d4d1ccf906f473fdebb8dd4a https://doi.org/10.1080/03081087.2020.1805399 Zobrazit plný text záznamu