|
|||||
 |
|
|
|
|
|
|
|
Leibniz
algebras with low-dimensional maximal Lie quotients
William J. Cook, John Hall, Vicky W. Klima and Carter Murray
Vol. 12 (2019), No. 5, 839–853
|
Abstract |
|
Every Leibniz algebra has a maximal homomorphic image that is a Lie algebra. We classify cyclic Leibniz algebras over an arbitrary field. Such algebras have the 1-dimensional abelian Lie algebra as their maximal Lie quotient. We then give examples of Leibniz algebras whose associated maximal Lie quotients exhaust all 2-dimensional possibilities. |
PDF Access Denied
We have not been able to recognize your IP address
3.145.17.46
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 30.00:
Keywords
Leibniz algebra, cyclic Leibniz algebra, low-dimensional
examples
|
Mathematical Subject Classification 2010
Primary: 17A32
Secondary: 17A60
|
Milestones
Received: 31 August 2018
Revised: 9 October 2018
Accepted: 1 January 2019
Published: 22 May 2019
Communicated by Ravi Vakil
|
Authors |
| William J. Cook | |
| Department of Mathematical
Sciences Appalachian State University Boone, NC United States |
|
| John Hall | |
| Department of Mathematics University of Kentucky Lexington, KY United States |
|
| Vicky W. Klima | |
| Department of Mathematical
Sciences Appalachian State University Boone, NC United States |
|
| Carter Murray | |
| Department of Mathematical
Sciences Appalachian State University Boone, NC United States |
|
