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Ideal class "group" of Lipschitz (fully-integer) quaternions

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#number-theory #quaternions #class-field-theory
61
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Complex no's and Quaternions Automorphism

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#complex-numbers #real-numbers #quaternions
221
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Complexification of $SL_n(\mathbb{H})$

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#lie-groups #lie-algebras #quaternions
960
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Quaternion group

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#abstract-algebra #group-theory #finite-groups #quaternions
58
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Can I do that with Quaternions?

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#quaternions
1.4k
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Quaternion: composition of rotations/orientations to determine relative orientation

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#rotations #quaternions #orientation
316
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Rotation slerp to unity quaternion

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#rotations #quaternions
3.3k
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Average of 3D rotations

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#quaternions
1.9k
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Why does multiplying a Quaternion and a Vector yield these results?

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#geometry #vectors #quaternions
825
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Get the translation and rotation components of a quaternion

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#rotations #quaternions
59
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Question realted to standard field of quaternions and multiplicative group.

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#algebraic-groups #quaternions
753
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Spin(4,1) = Sp(1,1) isomorphism

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#lie-groups #lie-algebras #quaternions #exceptional-isomorphisms #classical-groups
578
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Why Euler rotation rotates also coordinate frame?

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#3d #rotations #quaternions
419
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Canonical homomorphism from a group ring to its subring.

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#abstract-algebra #modules #quaternions #group-rings
55
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Trigonometric operation of complex number in matrix representation

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#complex-numbers #quaternions

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