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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Published in | Communications in algebra Vol. 51; no. 5; pp. 1866 - 1885 |
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Main Authors | , , , , |
Format | Journal Article |
Language | English |
Published |
Abingdon
Taylor & Francis
04.05.2023
Taylor & Francis Ltd |
Subjects | |
Online Access | Get full text |
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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. |
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ISSN: | 0092-7872 1532-4125 |
DOI: | 10.1080/00927872.2022.2145300 |