Question

Are the Complex Numbers a subset of the Split Quaternions?

score 172 · Answer 1 · 2026-03-09 05:53:49

172

Views

Are the Complex Numbers a subset of the Split Quaternions?

Published on 09 Mar 2026 - 5:53

score 458 · Answer 2 · 2026-03-21 21:53:24

458

Views

Do any significant changes happen in hypercomplex numbers beyond the eight dimensions of the octonions?

Published on 21 Mar 2026 - 21:53

score 25 · Answer 3 · 2020-03-05 13:59:21

25

Views

Soft question: References for Dedekind's work on quaternions and hypercomplex numbers?

Published on 05 Mar 2020 - 13:59

score 197 · Answer 4 · 2016-08-24 14:33:45

197

Views

Adding a root of $z\bar z=-1$ to $\mathbb C$

Published on 24 Aug 2016 - 14:33

score 2.1k · Answer 5 · 2016-09-04 20:10:48

2.1k

Views

Dual number $(a+b\varepsilon)$ raised to a dual power, e.g. $(a+b\varepsilon)^{(c+d\varepsilon)}$

Published on 04 Sep 2016 - 20:10

score 47 · Answer 6 · 2016-09-10 16:04:57

47

Views

Series with complex terms

Published on 10 Sep 2016 - 16:04

score 302 · Answer 7 · 2017-02-21 15:48:33

302

Views

Geometric interpretation of the hyperbolic pythagorean theorem

Published on 21 Feb 2017 - 15:48

score 359 · Answer 8 · 2017-02-22 22:58:36

359

Views

Fourier-like transformation with split-complex numbers?

Published on 22 Feb 2017 - 22:58

score 137 · Answer 9 · 2023-02-10 18:00:15

137

Views

Iterating Hamilton's construction $\Bbb R\to \Bbb C$ yields what type of algebraic structure on $\Bbb C^2$ (e.g. occurs in nested complex datatypes).

Published on 10 Feb 2023 - 18:00

score 89 · Answer 10 · 2026-03-25 09:24:41

89

Views

Is there any practical use for octonions?

Published on 25 Mar 2026 - 9:24

score 43 · Answer 11 · 2023-03-26 14:42:04

43

Views

Numeric system where iterated square roots of 1 have integer parts

Published on 26 Mar 2023 - 14:42

score 134 · Answer 12 · 2023-09-04 17:02:52

134

Views

How can one generalize the split-complex algebra to a coordinate space with an arbitrary number of asymptotes?

Published on 04 Sep 2023 - 17:02

score 65 · Answer 13 · 2023-09-21 17:05:47

65

Views

Prime elements in hypercomplex space

Published on 21 Sep 2023 - 17:05

score 766 · Answer 14 · 2023-10-12 14:51:30

766

Views

What is known about Pathions, Chingons, Routons and Voudons?

Published on 12 Oct 2023 - 14:51

score 137 · Answer 15 · 2023-10-31 21:43:16

137

Views

Factorisation of the sum of $n$ squares using hypercomplex numbers

Published on 31 Oct 2023 - 21:43

List Question

Are the Complex Numbers a subset of the Split Quaternions?

Do any significant changes happen in hypercomplex numbers beyond the eight dimensions of the octonions?

Soft question: References for Dedekind's work on quaternions and hypercomplex numbers?

Adding a root of $z\bar z=-1$ to $\mathbb C$

Dual number $(a+b\varepsilon)$ raised to a dual power, e.g. $(a+b\varepsilon)^{(c+d\varepsilon)}$

Series with complex terms

Geometric interpretation of the hyperbolic pythagorean theorem

Fourier-like transformation with split-complex numbers?

Iterating Hamilton's construction $\Bbb R\to \Bbb C$ yields what type of algebraic structure on $\Bbb C^2$ (e.g. occurs in nested complex datatypes).

Is there any practical use for octonions?

Numeric system where iterated square roots of 1 have integer parts

How can one generalize the split-complex algebra to a coordinate space with an arbitrary number of asymptotes?

Prime elements in hypercomplex space

What is known about Pathions, Chingons, Routons and Voudons?

Factorisation of the sum of $n$ squares using hypercomplex numbers

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