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Condition for a quotient space to be compact

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#group-theory #surfaces #hyperbolic-geometry #quaternions
221
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Definitions of quaternion algebras

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#abstract-algebra #ring-theory #quaternions
98
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quaterinon-like affine transform

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#linear-transformations #quaternions
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Is the quaternion obtained from Hamilton product a rotated quaternion?

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#quaternions
210
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How to show that the map $\pi: z\mapsto ziz^*$ is onto $S^2$?

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#differential-geometry #algebraic-topology #quaternions #hopf-fibration
259
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Proper Nontrivial Ideals of Modular Lipschitz Quaternions

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#ring-theory #modules #ideals #quaternions
9.6k
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Calculate quaternions from two directional vectors.

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#rotations #quaternions
12.7k
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Convert quaternion to vector?

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#vectors #3d #rotations #quaternions
3.4k
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Subgroups and The Quaternion Group

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#group-theory #quaternions
1.3k
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Conversion of rotation between LH and RH coordinate systems with quaternions

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#transformation #coordinate-systems #rotations #quaternions
168
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Ideals of Modular Lipschitz Quaternions II: Progress and New Questions

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#abstract-algebra #ring-theory #modular-arithmetic #modules #quaternions
12.3k
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Rotating a quaternion around its z-axis to point its x-axis towards a given point

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#linear-algebra #matrices #vectors #rotations #quaternions
145
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About definition of Fuchsian group derived from a quaternion algebra

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#group-theory #hyperbolic-geometry #quaternions
80
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Power series of a quaternionic variable q: what is the behavior on the boundary of convergence?

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#complex-analysis #convergence-divergence #complex-numbers #quaternions #analytic-continuation
473
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Learning about quaternion

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#reference-request #quaternions #learning

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