|
|||||
 |
|
|
|
|
|
|
|
An octonionic
construction of $E_8$ and the Lie algebra magic square
Robert A. Wilson, Tevian Dray and Corinne A. Manogue |
|
Vol. 20 (2023), No. 2-3, 611–634
|
Abstract |
|
We give a new construction of the Lie algebra of type , in terms of matrices, such that the Lie bracket has a natural description as the matrix commutator. This leads to a new interpretation of the Freudenthal–Tits magic square of Lie algebras, acting on themselves by commutation. |
|
Dedicated to the memory of Jacques Tits |
PDF Access Denied
We have not been able to recognize your IP address
18.97.14.86
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 40.00:
Keywords
exceptional Lie algebras, Freudenthal–Tits magic square,
octonions
|
Mathematical Subject Classification
Primary: 20G41
|
Milestones
Received: 11 April 2022
Revised: 26 September 2022
Accepted: 26 October 2022
Published: 13 September 2023
|
Authors |
| Robert A. Wilson | |
| School of Mathematical
Sciences Queen Mary University of London London United Kingdom |
|
| Tevian Dray | |
| Department of Mathematics Oregon State University Corvallis, OR United States |
|
| Corinne A. Manogue | |
| Department of Physics Oregon State University Corvallis, OR United States |
|
| © 2023 MSP (Mathematical Sciences Publishers). |
