Publication detail

Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity

HRDINA, J. STODOLA, M.

Original Title

Higher Order Geometric Algebras and Their Implementations Using Bott Periodicity

Type

journal article in Web of Science

Language

English

Original 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).

Keywords

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

Authors

HRDINA, J.; STODOLA, M.

Released

31. 8. 2024

Publisher

SPRINGER BASEL AG

Location

BASEL 4052, SWITZERLAND

ISBN

0188-7009

Periodical

ADV APPL CLIFFORD AL

Year of study

34

Number

4

State

Swiss Confederation

Pages from

1

Pages to

22

Pages count

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"
}