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Linear Mappings of Quaternion Algebra · arXivDesk

1107.1139Jul 6, 2011English text - 25 pages; Russian text - 25 pages. The goal of this paper is to establish bridge between different views on linear mappings of quaternion algebra

Linear Mappings of Quaternion Algebra

Aleks Kleyn

Rings and Algebras

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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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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The paper addresses: Linear Mappings of Quaternion Algebra.
In the paper I considered linear and antilinear automorphisms of quaternion algebra.

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Author comment: English text - 25 pages; Russian text - 25 pages. The goal of this paper is to establish bridge between different views on linear mappings of quaternion algebra

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