Question

Do the quaternions "close" the complex numbers, analogously to the complex numbers algebraically closing the reals?

score 89 · Answer 1 · 2023-08-10 04:52:43

89

Views

Do the quaternions "close" the complex numbers, analogously to the complex numbers algebraically closing the reals?

Published on 10 Aug 2023 - 4:52

score 40 · Answer 2 · 2023-08-10 09:45:54

40

Views

Sigma matrices and quaternion correspondence

Published on 10 Aug 2023 - 9:45

score 65 · Answer 3 · 2026-03-28 09:28:43

How to generate evenly spaced rotations in SO(3) and/or a regular grid over $\mathbb{S}^3$ (to be used to divide the space of unitary quaternions)?

score 38 · Answer 4 · 2026-03-26 07:57:02

38

Views

Relation between quaternions, Pauli vectors and regular vectors

Published on 26 Mar 2026 - 7:57

score 53 · Answer 5 · 2026-03-27 14:52:34

53

Views

Is there a mistake in Zagier's "Hyperbolic manifolds and special values of Dedekind zeta-functions"?

Published on 27 Mar 2026 - 14:52

score 32 · Answer 6 · 2026-03-30 16:30:03

32

Views

Compute the reduced norm of an invertible fractional $\mathcal{O}$-ideal in a quaternion algebra

Published on 30 Mar 2026 - 16:30

score 52 · Answer 7 · 2026-03-25 06:02:29

52

Views

Constructing transformation of an extended spherical movement

Published on 25 Mar 2026 - 6:02

score 77 · Answer 8 · 2023-08-25 20:48:28

77

Views

Calculations of the error quaternion from the MSCKF paper

Published on 25 Aug 2023 - 20:48

score 164 · Answer 9 · 2026-03-25 15:41:12

164

Views

Finding the discriminant of a quaternion algebra

Published on 25 Mar 2026 - 15:41

score 179 · Answer 10 · 2026-03-29 22:13:55

179

Views

How to swap the roll and pitch of a quaternion

Published on 29 Mar 2026 - 22:13

score 47 · Answer 11 · 2026-03-27 10:46:07

47

Views

Equivalent of unitary matrix with "spectrum" lying on the 2-sphere

Published on 27 Mar 2026 - 10:46

score 101 · Answer 12 · 2023-09-02 03:39:15

101

Views

Primality testing for quaternions

Published on 02 Sep 2023 - 3:39

score 71 · Answer 13 · 2023-09-03 01:35:28

71

Views

Test primality in a quaternion order

Published on 03 Sep 2023 - 1:35

score 35 · Answer 14 · 2023-09-09 21:10:20

35

Views

Retrieve Roll and Pitch rotation

Published on 09 Sep 2023 - 21:10

score 58 · Answer 15 · 2023-09-10 01:35:57

Is the product of two quaternions guaranteed to stay in the upper hemisphere if the two quaternions reside in the upper hemisphere?

List Question

Do the quaternions "close" the complex numbers, analogously to the complex numbers algebraically closing the reals?

Sigma matrices and quaternion correspondence

How to generate evenly spaced rotations in SO(3) and/or a regular grid over $\mathbb{S}^3$ (to be used to divide the space of unitary quaternions)?

Relation between quaternions, Pauli vectors and regular vectors

Is there a mistake in Zagier's "Hyperbolic manifolds and special values of Dedekind zeta-functions"?

Compute the reduced norm of an invertible fractional $\mathcal{O}$-ideal in a quaternion algebra

Constructing transformation of an extended spherical movement

Calculations of the error quaternion from the MSCKF paper

Finding the discriminant of a quaternion algebra

How to swap the roll and pitch of a quaternion

Equivalent of unitary matrix with "spectrum" lying on the 2-sphere

Primality testing for quaternions

Test primality in a quaternion order

Retrieve Roll and Pitch rotation

Is the product of two quaternions guaranteed to stay in the upper hemisphere if the two quaternions reside in the upper hemisphere?

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