Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F24%3APU152105" target="_blank" >RIV/00216305:26210/24:PU152105 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s00006-024-01346-7" target="_blank" >https://link.springer.com/article/10.1007/s00006-024-01346-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00006-024-01346-7" target="_blank" >10.1007/s00006-024-01346-7</a>
Alternative languages
Result language
angličtina
Original language name
Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity
Original language description
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).
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ADV APPL CLIFFORD AL
ISSN
0188-7009
e-ISSN
1661-4909
Volume of the periodical
34
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
22
Pages from-to
1-22
UT code for WoS article
001302516400001
EID of the result in the Scopus database
2-s2.0-85202793207