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

https://link.springer.com/article/10.1007/s00006-024-01346-7

Plný text v Digitální knihovně

http://hdl.handle.net/11012/250095

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

s00006-024-01346-7