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Results tagged with quaternions
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user 105159
7
votes
2
answers
2k
views
Automorphisms and isometries of the quaternions
Each automorphism of the quaternion algebra is inner and it is an orthogonal mapping with the determinant 1.
Let $f: \mathbb H \rightarrow \mathbb H$ be in $SO(4)$. Does there exists a quaternion $q …
- 175
5
votes
2
answers
579
views
About some property of automorphism of octonions
Let $f$ be an automorphism of the algebra of octonions. Is it true that $f$ preserves some quaternionic subalgebra? Has the statement an elementary proof?
- 175