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$\mathbb{R}^3$ as a field

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#abstract-algebra #field-theory #euclidean-geometry #noncommutative-algebra #quaternions
854
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What are some applications of these specific pure math areas?

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#applications #quaternions #low-dimensional-topology #career-development
283
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Are all four-dimensional manifolds quaternion-Kähler??

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#manifolds #quaternions #kahler-manifolds
187
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In the Quaternion group, why does $-1*k = -k$, or any other element for that matter?

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#group-theory #quaternions
102
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Computing the pull back of and element of $\mathfrak{so}(3)$ to the tangent space $SO(3)$ in (some) local coordinates

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#differential-geometry #lie-groups #lie-algebras #quaternions
37
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Trying to prove Quaternion function, looking for advice

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#quaternions
299
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Converting an rgb triple to a quaternion

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#linear-algebra #systems-of-equations #quaternions
1k
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Why Quaternion Group Have All Normal subgroups

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#group-theory #normal-subgroups #quaternions
36
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Quaternions in Standard Form

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#abstract-algebra #quaternions
1.4k
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Is the conversion between quaternion and rotation matrix a one-to-one mapping when $\theta \neq 0$

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#rotations #quaternions #orthogonal-matrices
204
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The geometric interpretation of quaternion and Octanion

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#abstract-algebra #quaternions #octonions
139
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3-d rotation matrix estimation from noisy axes

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#linear-algebra #rotations #quaternions
60
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Closest point of one SO(3) submanifold onto another submanifold

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#differential-geometry #rotations #quaternions
405
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Making sense of the quaternion product

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#geometry #quaternions
214
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Can we find all subfields of the quaternions $H( \mathbb{R})$?

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#abstract-algebra #commutative-algebra #field-theory #quaternions

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