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isomorphism between $\mathbb H P^1$ and $S^4$

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#general-topology #differential-geometry #lie-groups #quaternions
61
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Unit quarternion as rotation in $\mathbb{R}^3$

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#abstract-algebra #group-theory #quaternions
29
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I want to write the quaternion $q=2+i+j-5k$ in the form $r+lc$

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#quaternions
200
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Definition of Hecke operators for Shimura curve

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#number-theory #algebraic-number-theory #algebraic-curves #quaternions #modular-forms
1.1k
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Geodesic distance of two quaternions

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#lie-groups #rotations #quaternions #geodesic
247
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Alternative to complex numbers - Study numbers $j^2=1$, $j \neq 1$

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#complex-numbers #quaternions #roots-of-unity #clifford-algebras #split-complex-numbers
122
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Differential forms in the quaternions

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#differential-geometry #complex-geometry #quaternions
275
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Quaternion's multiplicative group as a subgroup of $\mathrm{GL}(4,\mathbb{R})$

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#linear-algebra #abstract-algebra #matrices #complex-numbers #quaternions
32
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Reparameterizing quaternion in terms of angle

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#linear-algebra #trigonometry #quaternions
104
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Why does not identity theorem works for Quaternions, Octonions, Sedenions etc?

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#complex-analysis #quaternions #hypercomplex-numbers
335
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Use quaternion to represent rotation matrix

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#3d #quaternions
347
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How to derive rotation matrix for quaternion

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#matrices #vectors #quaternions
186
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Maximal Tori of $U(n)$ and $Sp(n)$

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#abstract-algebra #group-theory #lie-groups #quaternions
311
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What is the derivative of the inverse of the unit quaternion?

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#rotations #quaternions
272
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differentiation with respect to a quaternion

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#derivatives #quaternions

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