Sketches from the life of hypercomplex numbers
K. V. Andreev
TL;DR
This paper presents a conceptual overview connecting hypercomplex numbers, Clifford algebras, and alternative-elastic algebras through induction constructions, offering insights into their structural relationships.
Contribution
It introduces a novel perspective linking Clifford and alternative-elastic algebras via induction, expanding understanding of hypercomplex number systems.
Findings
Established a link between Clifford and alternative-elastic algebras
Provided sketches of induction construction ideas
Connected hypercomplex numbers with algebraic structures
Abstract
In the article, the main ideas of the induction construction arXiv:1204.0194, arXiv:1110.4737, arXiv:1202.0941, arXiv:1208.4466 are considered in the form of sketches. The article establishes a link between Clifford algebras and alternative-elastic algebras at the level of connectors.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Quantum Mechanics and Applications · Mathematical and Theoretical Analysis