Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU139622" target="_blank" >RIV/00216305:26210/21:PU139622 - isvavai.cz</a>

Result on the web

<a href="https://link.springer.com/article/10.1007/s00006-021-01118-7" target="_blank" >https://link.springer.com/article/10.1007/s00006-021-01118-7</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00006-021-01118-7" target="_blank" >10.1007/s00006-021-01118-7</a>

Result language

angličtina

Original language name

Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

Original language description

We show that if Projective Geometric Algebra (PGA), i.e. the geometric algebra with degenerate signature (n, 0, 1), is understood as a subalgebra of Conformal Geometric Algebra (CGA) in a mathematically correct sense, then flat primitives share the same representation in PGA and CGA. Particularly, we treat duality in PGA in the framework of CGA. This leads to unification of PGA and CGA primitives which is important especially for software implementation and symbolic calculations.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2021

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ADV APPL CLIFFORD AL

ISSN

0188-7009

e-ISSN

1661-4909

Volume of the periodical

31

Issue of the periodical within the volume

18

Country of publishing house

CH - SWITZERLAND

Number of pages

14

Pages from-to

1-13

UT code for WoS article

000620099400001

EID of the result in the Scopus database

2-s2.0-85101395016