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How does linear algebra over the octonions and other division algebras work?

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#linear-algebra #abstract-algebra #modules #division-algebras #octonions
245
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Unital nonalternative real division algebras of dimension 8

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#division-algebras #octonions
413
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Is it possible to plug hypercomplex numbers into the Riemann Zeta function?

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#complex-numbers #riemann-zeta #quaternions #octonions #hypercomplex-numbers
919
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Why is not possible to show that $S^7$ is a Lie Group in the following way?

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#lie-groups #smooth-manifolds #octonions
116
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The order of elements in finite octonions

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#finite-groups #finite-fields #octonions
191
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Classification of subalgebras of composition algebras

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#abstract-algebra #reference-request #algebras #octonions #nonassociative-algebras
324
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Do the octonions contain infinitely many copies of the quaternions?

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#group-isomorphism #quaternions #octonions
44
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If there can exist a model of the octonions without complex numbers

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#vector-spaces #octonions
2.6k
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If there are any 3nion, 5nion, 7nion, 9nion, 10nion, etc.

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#complex-numbers #quaternions #octonions
91
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The isotropy subgroup of the action of Spin(7) on the Grassmannian G(3,8)

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#differential-geometry #octonions
84
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Octonion Grassmanian?

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#linear-algebra #matrices #octonions
67
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Hermitian Octonion matrices?

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#linear-algebra #matrices #octonions
142
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Java Library that supports Quaternions Octonions, Sedenions?

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#quaternions #octonions #sedenions
74
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Commutation or Anti-commutation of the corresponding imaginary units of the octonions and split-octonions

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#division-algebras #octonions
208
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Construction of the Octonions

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#octonions

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