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15
221
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Where the tensor used in the definition of the octonion product come from?

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#abstract-algebra #octonions
89
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Is there any practical use for octonions?

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#quaternions #applications #hamilton-equations #octonions #hypercomplex-numbers
204
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Have generalisations of dual numbers/complex numbers/quaternions/octonions... been studied?

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#group-theory #quaternions #number-systems #octonions #dual-numbers
142
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Some basics on octonions and quaternions

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#quadratic-forms #quaternions #octonions
70
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Closed form of product of sedenions

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#abstract-algebra #products #quaternions #octonions #sedenions
60
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Square Root of a Arbitrary Octonion

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#abstract-algebra #complex-analysis #quaternions #octonions
42
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Sequence and Limit Definition at Quaternions

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#real-analysis #complex-analysis #complex-numbers #quaternions #octonions
90
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Are all 12 possibilities for products of three octonions in fact possible?

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#abstract-algebra #octonions
762
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Has the Riemann Hypothesis been generalized to the Octonions and the Quaternions?

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#riemann-zeta #quaternions #division-algebras #octonions
578
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Cayley-Dickson construction: a general rule for multiplying imaginary units?

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#abstract-algebra #octonions #hypercomplex-numbers
201
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Are complex split-octonions isomorphic to a more easily-defined algebra?

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#abstract-algebra #octonions #sedenions
73
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Octonions - affine space

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#affine-geometry #octonions
151
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Is seven-dimensional cross product rotationally invariant?

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#rotations #cross-product #invariance #octonions
379
Views

Does the exceptional Lie algebra $\mathfrak{g}_2$ arise from the isometry group of any projective space?

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#representation-theory #lie-algebras #quaternions #projective-space #octonions
209
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Can a point have a nontrivial isometry group?

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#lie-algebras #quaternions #projective-space #isometry #octonions

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