Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity
Loading...
Date
2024-08-31
Authors
Stodola, Marek
Hrdina, Jaroslav
ORCID
0000-0003-2460-7571Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
Altmetrics
Abstract
Using the classification of Clifford algebras and Bott periodicity, we show how higher geometric algebras can be realized as matrices over classical low dimensional geometric algebras. This matrix representation allows us to use standard geometric algebra software packages more easily. As an example, we express the geometric algebra for conics (GAC) as a matrix over the Compass ruler algebra (CRA).
Description
Keywords
Citation
ADV APPL CLIFFORD AL. 2024, vol. 34, issue 4, p. 1-22.
https://link.springer.com/article/10.1007/s00006-024-01346-7
https://link.springer.com/article/10.1007/s00006-024-01346-7
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en