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On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras.

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

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On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras. / Bowman, Kevin; Towers, David A.; Varea, Vicente R.
In: Journal of Lie Theory, Vol. 17, No. 3, 2007, p. 605-616.

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

Harvard

Bowman, K, Towers, DA & Varea, VR 2007, 'On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras.', Journal of Lie Theory, vol. 17, no. 3, pp. 605-616. <http://www.heldermann.de/JLT/JLT17/JLT173/jlt17033.htm>

APA

Bowman, K., Towers, D. A., & Varea, V. R. (2007). On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras. Journal of Lie Theory, 17(3), 605-616. http://www.heldermann.de/JLT/JLT17/JLT173/jlt17033.htm

Vancouver

Bowman K, Towers DA, Varea VR. On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras. Journal of Lie Theory. 2007;17(3):605-616.

Author

Bowman, Kevin ; Towers, David A. ; Varea, Vicente R. / On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras. In: Journal of Lie Theory. 2007 ; Vol. 17, No. 3. pp. 605-616.

Bibtex

@article{d1d8c08999c64ae29867e060d0ff9565,
title = "On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras.",
abstract = "In this paper we study the class ${\cal F}$ of Lie algebras having a flag of subalgebras, and the class ${\cal Ch}_{lm}$ of Lie algebras having a maximal chain of lower modular subalgebras. We show that ${\cal F} \subseteq {\cal Ch}_{lm}$ and that both are extensible formations that are subalgebra closed. We derive a number of properties relating to these two classes, including a classification of the algebras in each class over a field of characteristic zero.",
keywords = "Lie algebras, flags of subalgebras, maximal chains of subalgebras, lower modular subalgebras, quasi-ideals.",
author = "Kevin Bowman and Towers, {David A.} and Varea, {Vicente R.}",
year = "2007",
language = "English",
volume = "17",
pages = "605--616",
journal = "Journal of Lie Theory",
publisher = "Heldermann Verlag",
number = "3",

}

RIS

TY - JOUR

T1 - On Flags And Maximal Chains Of Lower Modular Subalgebras Of Lie Algebras.

AU - Bowman, Kevin

AU - Towers, David A.

AU - Varea, Vicente R.

PY - 2007

Y1 - 2007

N2 - In this paper we study the class ${\cal F}$ of Lie algebras having a flag of subalgebras, and the class ${\cal Ch}_{lm}$ of Lie algebras having a maximal chain of lower modular subalgebras. We show that ${\cal F} \subseteq {\cal Ch}_{lm}$ and that both are extensible formations that are subalgebra closed. We derive a number of properties relating to these two classes, including a classification of the algebras in each class over a field of characteristic zero.

AB - In this paper we study the class ${\cal F}$ of Lie algebras having a flag of subalgebras, and the class ${\cal Ch}_{lm}$ of Lie algebras having a maximal chain of lower modular subalgebras. We show that ${\cal F} \subseteq {\cal Ch}_{lm}$ and that both are extensible formations that are subalgebra closed. We derive a number of properties relating to these two classes, including a classification of the algebras in each class over a field of characteristic zero.

KW - Lie algebras

KW - flags of subalgebras

KW - maximal chains of subalgebras

KW - lower modular subalgebras

KW - quasi-ideals.

M3 - Journal article

VL - 17

SP - 605

EP - 616

JO - Journal of Lie Theory

JF - Journal of Lie Theory

IS - 3

ER -