Mappings of Conjugation of Quaternion Algebra
Aleks Kleyn
TL;DR
This paper investigates the structure of quaternion algebra conjugation mappings, proving a theorem about the unique expansion of R-linear mappings based on conjugation mappings.
Contribution
It introduces a theorem establishing the unique expansion of R-linear quaternion mappings relative to conjugation mappings.
Findings
Proved the existence of a unique expansion for R-linear mappings.
Established a foundational theorem relating conjugation mappings and linear mappings.
Contributed to the theoretical understanding of quaternion algebra structures.
Abstract
In the paper I considered mappings of conjugation of quaternion algebra. I proved the theorem that there is unique expansion of R-linear mapping of quaternion algebra relative to the given set of mappings of conjugation.
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Taxonomy
TopicsMatrix Theory and Algorithms · Algebraic and Geometric Analysis · Mathematics and Applications