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Product rule for quaternions

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#derivatives #lie-groups #quaternions
255
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Division Algebra without Multiplicative Inverse

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#linear-algebra #quaternions
573
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Implementation of quaternion coordinate transformation

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#linear-algebra #transformation #coordinate-systems #rotations #quaternions
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Quaternion Exponential Map - Lie group vs. Riemannian Manifold

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#lie-groups #riemannian-geometry #quaternions
125
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Are all elements of a quaternion algebra regular elliptic semisimple?

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#abstract-algebra #quaternions
216
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About the set of pure Quaternion

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#abstract-algebra #noncommutative-algebra #quaternions
163
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About isomorphism between quaternion algebras

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#abstract-algebra #noncommutative-algebra #quaternions
463
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About commutator operator of the Quaternion algebra

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#abstract-algebra #noncommutative-algebra #quaternions
105
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Relations $\mathbb{H}^{*}$ and $\operatorname{GL}_{2}(\mathbb{C})$

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#lie-groups #smooth-manifolds #quaternions
99
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Step of the proof that $\mathbb{RP}^{3} \cong SO(3)$

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#linear-algebra #differential-geometry #lie-groups #quaternions #projective-space
434
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Quaternion - Conjugate

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#matrices #quaternions
52
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Identify $\mathbb R^4$ with the quaternionic field $\mathbb H$

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#complex-analysis #complex-numbers #quaternions
703
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Proof for simplified formula for rotating a vector by a quaternion

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#rotations #quaternions
5.8k
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How do I compare the (quaternion) orientation of two objects and specify different tolerances along each local axis?

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#quaternions #orientation
89
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Generators for the special quaternionic orthogonal Lie algebra $\mathfrak{so}^*(2n)$

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#reference-request #lie-groups #lie-algebras #quaternions

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