Journal
LINEAR ALGEBRA AND ITS APPLICATIONS
Volume 466, Issue -, Pages 530-546Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.laa.2014.10.036
Keywords
Lie algebra; Leibniz algebra; Solvability; Nilpotency; Nilradical; Derivation; Nil-independence
Categories
Ask authors/readers for more resources
In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and the right operators on the elements of Leibniz algebra have the upper triangular forms. We establish that solvable Leibniz algebra of a maximal possible dimension with a given triangular nilradical is a Lie algebra. Furthermore, solvable Leibniz algebras with triangular nilradicals of the low dimensions are classified. (C) 2014 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available