Question

Do the Hurwitz quaternions form a cyclic group?

score 122 · Answer 1 · 2020-04-22 12:55:03

122

Views

Do the Hurwitz quaternions form a cyclic group?

Published on 22 Apr 2020 - 12:55

score 69 · Answer 2 · 2020-04-23 20:06:41

69

Views

Find approximating roots to a quaternion polynomial with a naive algorithm

Published on 23 Apr 2020 - 20:06

score 26 · Answer 3 · 2020-04-24 23:04:19

26

Views

For unit complex numbers $z$ and $w$ and the quaternion $j$, when does $zj\bar{w}=j$?

Published on 24 Apr 2020 - 23:04

score 548 · Answer 4 · 2026-03-25 11:02:44

548

Views

Properties lost when going from real number system to quaternions and octonions

Published on 25 Mar 2026 - 11:02

score 26 · Answer 5 · 2026-03-25 09:28:17

26

Views

Showing that an image of a 3D rotation is a Hopf map

Published on 25 Mar 2026 - 9:28

score 261 · Answer 6 · 2020-04-26 21:34:49

261

Views

What are the cosets of $\mathbb{Q_8} / Z(\mathbb{Q_8})$?

Published on 26 Apr 2020 - 21:34

score 106 · Answer 7 · 2020-05-07 16:45:48

106

Views

Fubini-Study metric of HP^n in affine coordinates

Published on 07 May 2020 - 16:45

score 72 · Answer 8 · 2026-03-25 12:35:05

72

Views

$A_5$ or the icosahedral group $I$ is not isomorphic to any subgroup of the binary icosahedral group $2I$

Published on 25 Mar 2026 - 12:35

score 284 · Answer 9 · 2026-03-24 02:41:49

284

Views

Quotient of binary icosahedral group by its center, i.e., $2I/\{\pm 1\}$ is isomorphic to $A_5$

Published on 24 Mar 2026 - 2:41

score 90 · Answer 10 · 2020-05-08 20:18:43

90

Views

Quaternion exponent and logarithm to non-standard base

Published on 08 May 2020 - 20:18

score 183 · Answer 11 · 2026-03-25 09:25:44

183

Views

Proving that the Octonion Norm Respects Multiplication

Published on 25 Mar 2026 - 9:25

score 79 · Answer 12 · 2026-03-25 20:39:53

79

Views

First order, non-linear ODE

Published on 25 Mar 2026 - 20:39

score 82 · Answer 13 · 2020-05-09 10:26:26

82

Views

Expressing common vector operations in terms of quaternions

Published on 09 May 2020 - 10:26

score 45 · Answer 14 · 2020-05-09 10:52:12

45

Views

Why does no three-scalar parameterization of 3d orientation exist that doesn't contain singularities?

Published on 09 May 2020 - 10:52

score 128 · Answer 15 · 2020-05-09 23:22:51

128

Views

Can the expression $a^2 + b^2 - c^2$ be factored as a product of two quaternions, where $a$, $b$, $c$ are real numbers?

Published on 09 May 2020 - 23:22

List Question

Do the Hurwitz quaternions form a cyclic group?

Find approximating roots to a quaternion polynomial with a naive algorithm

For unit complex numbers $z$ and $w$ and the quaternion $j$, when does $zj\bar{w}=j$?

Properties lost when going from real number system to quaternions and octonions

Showing that an image of a 3D rotation is a Hopf map

What are the cosets of $\mathbb{Q_8} / Z(\mathbb{Q_8})$?

Fubini-Study metric of HP^n in affine coordinates

$A_5$ or the icosahedral group $I$ is not isomorphic to any subgroup of the binary icosahedral group $2I$

Quotient of binary icosahedral group by its center, i.e., $2I/\{\pm 1\}$ is isomorphic to $A_5$

Quaternion exponent and logarithm to non-standard base

Proving that the Octonion Norm Respects Multiplication

First order, non-linear ODE

Expressing common vector operations in terms of quaternions

Why does no three-scalar parameterization of 3d orientation exist that doesn't contain singularities?

Can the expression $a^2 + b^2 - c^2$ be factored as a product of two quaternions, where $a$, $b$, $c$ are real numbers?

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