Question

Are roots of unity in hypercomplex algebras well defined?

score 1.2k · Answer 1 · 2026-03-25 07:48:55

1.2k

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Are roots of unity in hypercomplex algebras well defined?

Published on 25 Mar 2026 - 7:48

score 3.3k · Answer 2 · 2014-04-23 02:30:31

3.3k

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Can different quaternions represent the same orientation?

Published on 23 Apr 2014 - 2:30

score 607 · Answer 3 · 2014-04-29 14:56:49

607

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Quaternions, Lie Groups and Lie Algebras. Steps to realize a paper.

Published on 29 Apr 2014 - 14:56

score 285 · Answer 4 · 2014-05-03 15:00:31

285

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Is there infinitely many "complex units"

Published on 03 May 2014 - 15:00

score 66 · Answer 5 · 2026-03-25 23:15:56

66

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Question about quaternionic conjugation

Published on 25 Mar 2026 - 23:15

score 1.6k · Answer 6 · 2026-03-28 03:26:24

1.6k

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Transform a vector to global frame and ignore rotation about one axis or Full tilt compensated magnetometer

Published on 28 Mar 2026 - 3:26

score 716 · Answer 7 · 2014-05-10 18:26:35

716

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Prove that $Q$ is a group under quaternion multiplication

Published on 10 May 2014 - 18:26

score 407 · Answer 8 · 2014-05-10 19:24:44

407

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Do there exist equations that cannot be solved in $\mathbb{C}$, but can be solved in $\mathbb{H}$?

Published on 10 May 2014 - 19:24

score 123 · Answer 9 · 2014-05-16 22:05:12

123

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Inner product space or Hilbert space of Quaternionic Functions

Published on 16 May 2014 - 22:05

score 329 · Answer 10 · 2014-05-17 02:02:20

329

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What's the intuition for extending $\mathbb{C}$ to $\mathbb{H}$?

Published on 17 May 2014 - 2:02

score 507 · Answer 11 · 2026-03-25 07:43:54

507

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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 25 Mar 2026 - 7:43

score 4.8k · Answer 12 · 2014-06-04 22:11:11

4.8k

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What is a good geometric interpretation of quaternion multiplication?

Published on 04 Jun 2014 - 22:11

score 1.5k · Answer 13 · 2014-06-05 00:32:33

1.5k

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Published on 05 Jun 2014 - 0:32

score 2.1k · Answer 14 · 2014-06-05 15:44:39

2.1k

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Published on 05 Jun 2014 - 15:44

score 151 · Answer 15 · 2026-03-25 03:07:08

151

Views

Rotation between two vectors as a function of time (one parameter rational motion design)

Published on 25 Mar 2026 - 3:07

List Question

Are roots of unity in hypercomplex algebras well defined?

Can different quaternions represent the same orientation?

Quaternions, Lie Groups and Lie Algebras. Steps to realize a paper.

Is there infinitely many "complex units"

Question about quaternionic conjugation

Transform a vector to global frame and ignore rotation about one axis or Full tilt compensated magnetometer

Prove that $Q$ is a group under quaternion multiplication

Do there exist equations that cannot be solved in $\mathbb{C}$, but can be solved in $\mathbb{H}$?

Inner product space or Hilbert space of Quaternionic Functions

What's the intuition for extending $\mathbb{C}$ to $\mathbb{H}$?

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

What is a good geometric interpretation of quaternion multiplication?

Tensor product of the spaces of quaternions and complex numbers

Riemann Zeta function, quaternions and physics

Rotation between two vectors as a function of time (one parameter rational motion design)

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