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C-sections of Lie algebras

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C-sections of Lie algebras. / Towers, David.
In: Journal of Algebra, Vol. 427, 01.04.2015, p. 76-84.

Research output: Contribution to Journal/Magazine › Journal article

Harvard

Towers, D 2015, 'C-sections of Lie algebras', Journal of Algebra, vol. 427, pp. 76-84. https://doi.org/10.1016/j.jalgebra.2014.12.027

APA

Towers, D. (2015). C-sections of Lie algebras. Journal of Algebra, 427, 76-84. https://doi.org/10.1016/j.jalgebra.2014.12.027

Vancouver

Towers D. C-sections of Lie algebras. Journal of Algebra. 2015 Apr 1;427:76-84. doi: 10.1016/j.jalgebra.2014.12.027

Author

Towers, David. / C-sections of Lie algebras. In: Journal of Algebra. 2015 ; Vol. 427. pp. 76-84.

Bibtex

@article{749ecade6d4d4dd88387fc5da7ece7b2,
title = "C-sections of Lie algebras",
abstract = "Let M be a maximal subalgebra of a Lie algebra L and A/B a chief factor of L such that B ⊆ M and A ⊄ M. We call the factor algebra M ∩ A/B a c-section of M. All such c-sections are isomorphic, and this concept is related those of c-ideals and ideal index previously introduced by the author. Properties of c-sections are studied and some new characterizations of solvable Lie algebras are obtained.",
keywords = "c-Section, c-Ideal, Ideal index , Primitive , Solvable, Nilpotent , Nil , Restricted Lie algebra",
author = "David Towers",
year = "2015",
month = apr,
day = "1",
doi = "10.1016/j.jalgebra.2014.12.027",
language = "English",
volume = "427",
pages = "76--84",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",

}

RIS

TY - JOUR

T1 - C-sections of Lie algebras

AU - Towers, David

PY - 2015/4/1

Y1 - 2015/4/1

N2 - Let M be a maximal subalgebra of a Lie algebra L and A/B a chief factor of L such that B ⊆ M and A ⊄ M. We call the factor algebra M ∩ A/B a c-section of M. All such c-sections are isomorphic, and this concept is related those of c-ideals and ideal index previously introduced by the author. Properties of c-sections are studied and some new characterizations of solvable Lie algebras are obtained.

AB - Let M be a maximal subalgebra of a Lie algebra L and A/B a chief factor of L such that B ⊆ M and A ⊄ M. We call the factor algebra M ∩ A/B a c-section of M. All such c-sections are isomorphic, and this concept is related those of c-ideals and ideal index previously introduced by the author. Properties of c-sections are studied and some new characterizations of solvable Lie algebras are obtained.

KW - c-Section

KW - c-Ideal

KW - Ideal index

KW - Primitive

KW - Solvable

KW - Nilpotent

KW - Nil

KW - Restricted Lie algebra

U2 - 10.1016/j.jalgebra.2014.12.027

DO - 10.1016/j.jalgebra.2014.12.027

M3 - Journal article

VL - 427

SP - 76

EP - 84

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -