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Linear Mappings of Quaternion Algebra
Linear Mappings Quaternion Algebra Rings and Algebras
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2011/8/26
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...
Liftings of Reduction Maps for Quaternion Algebras
Liftings of Reduction Maps Quaternion Algebras
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2011/1/18
We construct liftings of reduction maps from CM points to supersingular points for general quaternion algebras and use these liftings to establish a precise correspondence between CM points on indefin...
On the conjugacy of pure imaginary elements of quaternion algebras and Cayley algebras
quaternion algebras Cayley algebras
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2010/11/9
In the quatenions ($\H$, $\H'$, $\H^{C}$) and octonions ($\gC$, $\gC^\prime$, $\gC^C$), we show some results on the conjugacy of two pure imaginary non-zero elements with same norm.
The Quaternion Matrix-Valued Young's Inequality
Quaternion Matrix Young's inequality Real representation
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2008/6/26
The Quaternion Matrix-Valued Young's Inequality.