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Almost reductive and almost algebraic Leibniz algebras

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

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Almost reductive and almost algebraic Leibniz algebras. / Towers, David.
In: International Electronic Journal of Algebra, Vol. 36, No. 36, 7, 12.07.2024, p. 89-100.

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

Harvard

Towers, D 2024, 'Almost reductive and almost algebraic Leibniz algebras', International Electronic Journal of Algebra, vol. 36, no. 36, 7, pp. 89-100. https://doi.org/10.24330/ieja.1446322

APA

Towers, D. (2024). Almost reductive and almost algebraic Leibniz algebras. International Electronic Journal of Algebra, 36(36), 89-100. Article 7. https://doi.org/10.24330/ieja.1446322

Vancouver

Towers D. Almost reductive and almost algebraic Leibniz algebras. International Electronic Journal of Algebra. 2024 Jul 12;36(36):89-100. 7. Epub 2024 Mar 3. doi: 10.24330/ieja.1446322

Author

Towers, David. / Almost reductive and almost algebraic Leibniz algebras. In: International Electronic Journal of Algebra. 2024 ; Vol. 36, No. 36. pp. 89-100.

Bibtex

@article{065ca2511f5a433a8b2a98e04f475758,
title = "Almost reductive and almost algebraic Leibniz algebras",
abstract = " This paper examines whether the concept of an almost-algebraic Lie algebra developed by Auslander and Brezin can be introduced for Leibniz algebras. Two possible analogues are considered: almost-reductive and almost-algebraic Leibniz algebras. For Lie algebras these two concepts are the same, but that is not the case for Leibniz algebras, the class of almost-algebraic Leibniz algebras strictly containing that of the almost-reductive ones. Various properties of these two classes of algebras are obtained, together with some relationships to $\phi$-free, elementary, $E$-algebras and $A$-algebras.",
author = "David Towers",
year = "2024",
month = jul,
day = "12",
doi = "10.24330/ieja.1446322",
language = "English",
volume = "36",
pages = "89--100",
journal = "International Electronic Journal of Algebra",
number = "36",

}

RIS

TY - JOUR

T1 - Almost reductive and almost algebraic Leibniz algebras

AU - Towers, David

PY - 2024/7/12

Y1 - 2024/7/12

N2 - This paper examines whether the concept of an almost-algebraic Lie algebra developed by Auslander and Brezin can be introduced for Leibniz algebras. Two possible analogues are considered: almost-reductive and almost-algebraic Leibniz algebras. For Lie algebras these two concepts are the same, but that is not the case for Leibniz algebras, the class of almost-algebraic Leibniz algebras strictly containing that of the almost-reductive ones. Various properties of these two classes of algebras are obtained, together with some relationships to $\phi$-free, elementary, $E$-algebras and $A$-algebras.

AB - This paper examines whether the concept of an almost-algebraic Lie algebra developed by Auslander and Brezin can be introduced for Leibniz algebras. Two possible analogues are considered: almost-reductive and almost-algebraic Leibniz algebras. For Lie algebras these two concepts are the same, but that is not the case for Leibniz algebras, the class of almost-algebraic Leibniz algebras strictly containing that of the almost-reductive ones. Various properties of these two classes of algebras are obtained, together with some relationships to $\phi$-free, elementary, $E$-algebras and $A$-algebras.

U2 - 10.24330/ieja.1446322

DO - 10.24330/ieja.1446322

M3 - Journal article

VL - 36

SP - 89

EP - 100

JO - International Electronic Journal of Algebra

JF - International Electronic Journal of Algebra

IS - 36

M1 - 7

ER -