Linear Mappings of Quaternion Algebra
Aleks Kleyn
TL;DR
This paper investigates the structure of linear and antilinear automorphisms in quaternion algebra, proving the uniqueness of their expansion relative to a specific set of automorphisms.
Contribution
It establishes a unique expansion theorem for R-linear mappings of quaternion algebra based on linear and antilinear automorphisms.
Findings
Proved the existence of a unique expansion of R-linear mappings
Characterized automorphisms of quaternion algebra
Enhanced understanding of quaternion automorphism structure
Abstract
In the paper I considered linear and antilinear automorphisms 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 linear and antilinear automorphisms.
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Taxonomy
TopicsControl and Dynamics of Mobile Robots · Advanced Optimization Algorithms Research · Algebraic and Geometric Analysis