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15
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About the octonions

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#abstract-algebra #quaternions #octonions
72
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Determine the conjugacy-classes in the unit-quaternions $S^3$

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#lie-groups #compactness #group-actions #quaternions #submanifold
172
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How to compute the $j$-invariant corresponding to a given maximal order in $B_{p,\infty}$

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#elliptic-curves #quaternions #sagemath #isogeny
65
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Do all isometries of the Euclidean space necessarily send shapes to congruent shapes?

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#euclidean-geometry #lie-groups #quaternions
534
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Determine the Lie algebra of the unit-quaternions $S^3 \subset \mathbb{H}^*$

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#differential-geometry #lie-groups #lie-algebras #quaternions #tangent-spaces
256
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What is so special about the quaternion group that it is the only non abelian group for which every subgroup of it is normal?

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#group-theory #normal-subgroups #quaternions
265
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Transformation of vector plus quaternion avoiding 4x4 matrix multiplication (using dual quaternion?)

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#matrices #quaternions
782
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How to find the derived subgroup of $Q_8$

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#abstract-algebra #group-theory #quaternions #derived-subgroup
106
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Is there a residue sum formula in quaternionic analysis?

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#sequences-and-series #complex-analysis #quaternions
132
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Group algebra for quaternion group

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#abstract-algebra #group-theory #modules #quaternions #hopf-algebras
48
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quaternion-base logarithm of a quaternion: formula

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#complex-numbers #logarithms #quaternions
56
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What is the smallest 3D rotation to make the axes line up

Published on
#rotations #quaternions
156
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Holomorphy for functions with quaternion variables.

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#complex-analysis #quaternions
63
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Left ideals of group algebra $K[\mathbb H]$

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#abstract-algebra #galois-theory #quaternions #noncommutative-algebra #hopf-algebras
88
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Rotate a Translation and a Quaternion around the z axis of an arbitrary pose by an angle theta

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#linear-algebra #3d #rotations #quaternions #rigid-transformation

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