List questions from octonions

Published on 14 Apr 2026 - 9:10

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Are roots of unity in hypercomplex algebras well defined?

Published on 11 Apr 2026 - 12:54

103

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Unit or non-zero octonions form an $A_\infty$-space?

Published on 15 Apr 2026 - 9:45

509

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Proof that the subalgebra generated by any two elements of $\mathbb{O}$ is isomorphic to $\mathbb{R}$, $\mathbb{C}$, or $\mathbb{H}$

Published on 17 Apr 2026 - 11:52

342

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Construction of Hyper-Complex Numbers

Published on 03 May 2026 - 15:36

651

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Inner product space over generalized number systems

Published on 13 Apr 2026 - 5:05

61

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Max number of solutions to $\exp\bigg(\frac{\rho}{\log(x)}\bigg)=x$ for complex, quaternion and octonion numbers?

Published on 13 Apr 2026 - 1:05

121

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Subalgebras of the Real Octonions under Multiplication

Published on 10 May 2026 - 15:13

1.5k

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A real example of an Octonion product

Published on 15 Apr 2026 - 13:14

68

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Why do $n$-dimensional numbers follow a geometric sequence?

Published on 25 Mar 2026 - 7:41

756

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Real, Complex, Quaternionic and Octonionic Projective spaces

Published on 12 Apr 2026 - 19:04

706

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Is the seven-dimensional cross product unique?

Published on 07 May 2026 - 12:33

318

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Octonion Algebras Over Number Fields

Published on 15 Apr 2026 - 4:14

111

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An octonion generalization of the usual quantum angular momentum operators.

Published on 05 Apr 2026 - 18:43

95

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Normed Division Algebras: Why those dimensions?

Published on 25 Mar 2026 - 7:40

List Question

7D octonionic cross product versus bivector cross product

Are roots of unity in hypercomplex algebras well defined?

Unit or non-zero octonions form an $A_\infty$-space?

Proof that the subalgebra generated by any two elements of $\mathbb{O}$ is isomorphic to $\mathbb{R}$, $\mathbb{C}$, or $\mathbb{H}$

Construction of Hyper-Complex Numbers

Inner product space over generalized number systems

Max number of solutions to $\exp\bigg(\frac{\rho}{\log(x)}\bigg)=x$ for complex, quaternion and octonion numbers?

Subalgebras of the Real Octonions under Multiplication

A real example of an Octonion product

Why do $n$-dimensional numbers follow a geometric sequence?

Real, Complex, Quaternionic and Octonionic Projective spaces

Is the seven-dimensional cross product unique?

Octonion Algebras Over Number Fields

An octonion generalization of the usual quantum angular momentum operators.

Normed Division Algebras: Why those dimensions?

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