Journal of Nonlinear Mathematical Physics

Volume 28, Issue 1, March 2021, Pages 108 - 122

On Hermitian and Skew-Hermitian Matrix Algebras over Octonions

Authors
Arezoo Zohrabi, Pasha Zusmanovich*
1University of Ostrava, Ostrava, Czech Republic
*Corresponding author. Email: pasha.zusmanovich@gmail.com
Corresponding Author
Pasha Zusmanovich
Received 30 December 2019, Accepted 24 August 2020, Available Online 10 December 2020.
DOI
https://doi.org/10.2991/jnmp.k.200922.011How to use a DOI?
Keywords
Matrix octonion algebras, Hermitian, skew-Hermitian, δ-derivations, associative forms
Abstract

We prove simplicity of algebras in the title, and compute their δ-derivations and symmetric associative forms.

Copyright
© 2020 The Authors. Publishing services by Atlantis Press International B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
28 - 1
Pages
108 - 122
Publication Date
2020/12
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.k.200922.011How to use a DOI?
Copyright
© 2020 The Authors. Publishing services by Atlantis Press International B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Arezoo Zohrabi
AU  - Pasha Zusmanovich
PY  - 2020
DA  - 2020/12
TI  - On Hermitian and Skew-Hermitian Matrix Algebras over Octonions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 108
EP  - 122
VL  - 28
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.k.200922.011
DO  - https://doi.org/10.2991/jnmp.k.200922.011
ID  - Zohrabi2020
ER  -