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On certain decompositions of solvable Lie algebras

Research output: Contribution to Journal/Magazine › Journal article › peer-review

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On certain decompositions of solvable Lie algebras. / Towers, David.
In: Journal of Lie Theory, Vol. 24, No. 4, 12.2014, p. 969-978.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Towers, D 2014, 'On certain decompositions of solvable Lie algebras', Journal of Lie Theory, vol. 24, no. 4, pp. 969-978. <http://www.heldermann.de/JLT/JLT24/JLT244/jlt24043.htm>

APA

Towers, D. (2014). On certain decompositions of solvable Lie algebras. Journal of Lie Theory, 24(4), 969-978. http://www.heldermann.de/JLT/JLT24/JLT244/jlt24043.htm

Vancouver

Towers D. On certain decompositions of solvable Lie algebras. Journal of Lie Theory. 2014 Dec;24(4):969-978.

Author

Towers, David. / On certain decompositions of solvable Lie algebras. In: Journal of Lie Theory. 2014 ; Vol. 24, No. 4. pp. 969-978.

Bibtex

@article{9ea5d4f902f341828b145ca8bf815139,
title = "On certain decompositions of solvable Lie algebras",
abstract = "The author has previously shown that solvable Lie A-algebras and complemented solvable Lie algebras decompose as a vector space direct sum of abelian subalgebras, and their ideals relate nicely to this decomposition. However, neither of these classes is contained in the other. The object of this paper is to find a larger class of algebras, containing each of these classes, in which these same results hold. ",
keywords = "Lie algebras, solvable, completely completely solvable , A-algebras , complemented , splitting, monolithic , Frattini ideal",
author = "David Towers",
year = "2014",
month = dec,
language = "English",
volume = "24",
pages = "969--978",
journal = "Journal of Lie Theory",
publisher = "Heldermann Verlag",
number = "4",

}

RIS

TY - JOUR

T1 - On certain decompositions of solvable Lie algebras

AU - Towers, David

PY - 2014/12

Y1 - 2014/12

N2 - The author has previously shown that solvable Lie A-algebras and complemented solvable Lie algebras decompose as a vector space direct sum of abelian subalgebras, and their ideals relate nicely to this decomposition. However, neither of these classes is contained in the other. The object of this paper is to find a larger class of algebras, containing each of these classes, in which these same results hold.

AB - The author has previously shown that solvable Lie A-algebras and complemented solvable Lie algebras decompose as a vector space direct sum of abelian subalgebras, and their ideals relate nicely to this decomposition. However, neither of these classes is contained in the other. The object of this paper is to find a larger class of algebras, containing each of these classes, in which these same results hold.

KW - Lie algebras

KW - solvable

KW - completely completely solvable

KW - A-algebras

KW - complemented

KW - splitting

KW - monolithic

KW - Frattini ideal

M3 - Journal article

VL - 24

SP - 969

EP - 978

JO - Journal of Lie Theory

JF - Journal of Lie Theory

IS - 4

ER -