Projective geometric algebra as a subalgebra of conformal geometric algebra. (English) Zbl 1462.15028
The text offers a view of projective geometric algebra as a subalgebra or conformal geometric algebra. The emphasis is mainly given to the three-dimensional Euclidean space that is the most interesting for applications. Although it is a classical topic, there is some novelty in this approach which makes the presentation interesting and clear, suitable even for non-experts in Clifford algebras and geometry. The authors propose a brief and pedagogical overview with explicit constructions and a systematic derivation of the new results, following the close connection to geometry with various examples and even a piece of source code at the end. This well written paper may interest a broad spectrum of readers: from specialists in the field to curious students.
Reviewer: Danail Brezov (Sofia)
MSC:
| 15A67 | Applications of Clifford algebras to physics, etc. |
| 15A66 | Clifford algebras, spinors |
| 51N25 | Analytic geometry with other transformation groups |
Software:
ganja.jsReferences:
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