Detail publikace

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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).

Klíčová slova

Conics;Geometric algebra;PGA;CGA;GAC;Witt pairs;Python

Autoři

HRDINA, J.; STODOLA, M.

Vydáno

31. 8. 2024

Nakladatel

SPRINGER BASEL AG

Místo

BASEL 4052, SWITZERLAND

ISSN

0188-7009

Periodikum

ADV APPL CLIFFORD AL

Ročník

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

BibTex

@article{BUT189563,
  author="Jaroslav {Hrdina} and Marek {Stodola}",
  title="Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity",
  journal="ADV APPL CLIFFORD AL",
  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"
}