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How to linearize Quaternions?

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#geometry #coordinate-systems #rotations #complex-geometry #quaternions
48
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Using quaternion algebra, determine matrix of reflection given a plane

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#matrices #geometry #quaternions #reflection
135
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Exterior Derivative over Quaternions

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#differential-geometry #differential-forms #quaternions #exterior-algebra #exterior-derivative
144
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Is there an operation in complex numbers that can only be answered by quaternions?

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#complex-numbers #quaternions
102
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Tensor Product over quaternions

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#differential-geometry #quaternions
468
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A bit confused on Quaternion

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#quaternions
764
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isomorphism between subset of SU(2) and SO(3)

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#group-theory #lie-groups #quaternions
94
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Determining Maximal Orders of a Quaternion Algebra

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#number-theory #algebraic-number-theory #quaternions
332
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Further than the Sedenions?

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#quaternions
2.3k
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Rotation distance

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#lie-algebras #rotations #quaternions
234
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Quaternion that transforms a point like a 2D angle

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#transformation #rotations #quaternions
35
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How are these Quaternion Algebras isomorphic? $\Big(\dfrac{\mathit{a,b}}{\mathit{F}}\Big) \simeq \Big(\dfrac{\mathit{b,a}}{\mathit{F}}\Big)$

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#quaternions #algebras
244
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Deriving quaternions via the cross product?

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#lie-groups #lie-algebras #quaternions
127
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Is $\mathbb Z_3+\mathbb Z_3\mathbf i+\mathbb Z_3\mathbf j+\mathbb Z_3\mathbf k$ a local ring?

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#abstract-algebra #p-adic-number-theory #noncommutative-algebra #quaternions
153
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What are some examples of quaternions in rectangular and exponential form?

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#quaternions

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