Applying matrix theory to classify real solvable Lie algebras having 2-dimensional derived ideals

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

doi:10.1016/j.laa.2019.11.031

Applying matrix theory to classify real solvable Lie algebras having 2-dimensional derived ideals

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

5 Citations (SciVal)

Abstract

We present a new approach to the problem of classifying real solvable Lie algebras having 2-dimensional derived ideals. Partial results on this problem were obtained by Schöbel in 1993 and by Janisse in 2010. In association with the results of Eberlein in 2003, we achieve a full list of real solvable Lie algebras having 2-dimensional derived ideals.

Original language	English
Pages (from-to)	282-303
Number of pages	22
Journal	Linear Algebra and its Applications
Volume	588
DOIs	https://doi.org/10.1016/j.laa.2019.11.031
Publication status	Published - 1 Mar 2020

Keywords

Derived ideal/algebra
Lie algebra
Proportional similar

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2019.11.031

Cite this

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abstract = "We present a new approach to the problem of classifying real solvable Lie algebras having 2-dimensional derived ideals. Partial results on this problem were obtained by Sch{\"o}bel in 1993 and by Janisse in 2010. In association with the results of Eberlein in 2003, we achieve a full list of real solvable Lie algebras having 2-dimensional derived ideals.",

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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 - 2020/3/1

Y1 - 2020/3/1

N2 - We present a new approach to the problem of classifying real solvable Lie algebras having 2-dimensional derived ideals. Partial results on this problem were obtained by Schöbel in 1993 and by Janisse in 2010. In association with the results of Eberlein in 2003, we achieve a full list of real solvable Lie algebras having 2-dimensional derived ideals.

AB - We present a new approach to the problem of classifying real solvable Lie algebras having 2-dimensional derived ideals. Partial results on this problem were obtained by Schöbel in 1993 and by Janisse in 2010. In association with the results of Eberlein in 2003, we achieve a full list of real solvable Lie algebras having 2-dimensional derived ideals.

KW - Derived ideal/algebra

KW - Lie algebra

KW - Proportional similar

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DO - 10.1016/j.laa.2019.11.031

M3 - Article

AN - SCOPUS:85076085157

SN - 0024-3795

VL - 588

SP - 282

EP - 303

JO - Linear Algebra and its Applications

JF - Linear Algebra and its Applications

ER -

Applying matrix theory to classify real solvable Lie algebras having 2-dimensional derived ideals

Abstract

Keywords

ASJC Scopus subject areas

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