Detail publikačního výsledku
Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity
HRDINA, J.; STODOLA, M.
Originální název
Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity
Anglický název
Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity
Druh
Článek WoS
Originální abstrakt
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).
Anglický abstrakt
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).
Klíčová slova
Conics;Geometric algebra;PGA;CGA;GAC;Witt pairs;Python
Klíčová slova v angličtině
Conics;Geometric algebra;PGA;CGA;GAC;Witt pairs;Python
Autoři
HRDINA, J.; STODOLA, M.
Rok RIV
2025
Vydáno
31.08.2024
Nakladatel
Springer Nature
Místo
BASEL 4052, SWITZERLAND
ISSN
0188-7009
Periodikum
Advances in Applied Clifford Algebras
Svazek
34
Číslo
4
Stát
Švýcarská konfederace
Strany od
1
Strany do
22
Strany počet
22
URL
Plný text v Digitální knihovně
BibTex
@article{BUT189563,
author="Marek {Stodola} and Jaroslav {Hrdina}",
title="Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity",
journal="Advances in Applied Clifford Algebras",
year="2024",
volume="34",
number="4",
pages="1--22",
doi="10.1007/s00006-024-01346-7",
issn="0188-7009",
url="https://link.springer.com/article/10.1007/s00006-024-01346-7"
}Dokumenty