Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals

By combining basic techniques in Lie Theory and a computer algebra tool which is the so-called triangular decomposition, the class of 7-dimensional real and complex indecomposable solvable Lie algebras having 5-dimensional nilradicals is classified up to isomorphism. In association with Gong (1998),...

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Bibliographic Details
Published inCommunications in algebra Vol. 51; no. 5; pp. 1866 - 1885
Main Authors Le, Vu A., Nguyen, Tuan A., Nguyen, Tu T. C., Nguyen, Tuyen T. M., Vo, Thieu N.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 04.05.2023
Taylor & Francis Ltd
Subjects
Classification
Computer algebra
Isomorphism
Lie algebra
Lie groups
nilradical
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Summary:By combining basic techniques in Lie Theory and a computer algebra tool which is the so-called triangular decomposition, the class of 7-dimensional real and complex indecomposable solvable Lie algebras having 5-dimensional nilradicals is classified up to isomorphism. In association with Gong (1998), Parry (2007), Hindeleh and Thompson (2008), we achieve a full classification of 7-dimensional real and complex indecomposable solvable Lie algebras.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2022.2145300