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

Vu A. Le; Tuan A. Nguyen; Tu T.C. Nguyen; Tuyen T.M. Nguyen; Thieu N. Vo

doi:10.1080/00927872.2022.2145300

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

Vu A. Le, Tuan A. Nguyen, Tu T.C. Nguyen, Tuyen T.M. Nguyen, Thieu N. Vo

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

9 Citations (SciVal)

Abstract

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.

Original language	English
Pages (from-to)	1866-1885
Number of pages	20
Journal	Communications in Algebra
Volume	51
Issue number	5
Early online date	10 Dec 2022
DOIs	https://doi.org/10.1080/00927872.2022.2145300
Publication status	Published - 1 Jan 2023

Bibliographical note

Publisher Copyright:
© 2022 Taylor & Francis Group, LLC.

Keywords

Lie algebra
nilradical

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927872.2022.2145300

Cite this

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AU - Le, Vu A.

AU - Nguyen, Tuan A.

AU - Nguyen, Tu T.C.

AU - Nguyen, Tuyen T.M.

AU - Vo, Thieu N.

PY - 2023/1/1

Y1 - 2023/1/1

N2 - 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.

AB - 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.

KW - Lie algebra

KW - nilradical

UR - https://www.scopus.com/pages/publications/85144176523

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JO - Communications in Algebra

JF - Communications in Algebra

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ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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