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Simple $$\omega $$ ω -Lie Algebras and 4-Dimensional $$\omega $$ ω -Lie Algebras Over $${\mathbb {C}}$$ C

Simple $$\omega $$ ω -Lie Algebras and 4-Dimensional $$\omega $$ ω -Lie Algebras Over $${\mathbb... In this paper, we study simple $$\omega $$ ω -Lie algebras and 4-dimensional $$\omega $$ ω -Lie algebras over the field of complex numbers. We provide an approach to classify all 4-dimensional non-Lie complex $$\omega $$ ω -Lie algebras. We prove that any non-Lie finite-dimensional simple $$\omega $$ ω -Lie algebra has dimension 3. A complete list of all non-Lie complex simple $$\omega $$ ω -Lie algebras is also derived. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

Simple $$\omega $$ ω -Lie Algebras and 4-Dimensional $$\omega $$ ω -Lie Algebras Over $${\mathbb {C}}$$ C

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References (16)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Malaysian Mathematical Sciences Society and Universiti Sains Malaysia
Subject
Mathematics; Mathematics, general; Applications of Mathematics
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-015-0120-6
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study simple $$\omega $$ ω -Lie algebras and 4-dimensional $$\omega $$ ω -Lie algebras over the field of complex numbers. We provide an approach to classify all 4-dimensional non-Lie complex $$\omega $$ ω -Lie algebras. We prove that any non-Lie finite-dimensional simple $$\omega $$ ω -Lie algebra has dimension 3. A complete list of all non-Lie complex simple $$\omega $$ ω -Lie algebras is also derived.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: Apr 29, 2015

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