Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Projective Geometric Algebra as a Subalgebra of Conformal Geometric algebra
Popis výsledku anglicky
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.

Rok uplatnění
2021
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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