Question

Hasse's classification of Quaternion algebras (over number fields)

score 129 · Answer 1 · 2026-04-15 01:05:52

129

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Hasse's classification of Quaternion algebras (over number fields)

Published on 15 Apr 2026 - 1:05

score 324 · Answer 2 · 2026-05-01 01:18:02

324

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Do the octonions contain infinitely many copies of the quaternions?

Published on 01 May 2026 - 1:18

score 140 · Answer 3 · 2026-05-10 18:26:34

140

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Prove or disprove ring $\mathbb{C}\times \mathbb{C}$ and ring Quaternion $H$ are isomorphic

Published on 10 May 2026 - 18:26

score 114 · Answer 4 · 2026-04-16 06:30:22

114

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derivative action of isometries on hyperbolic 3-space (upper half-space model)

Published on 16 Apr 2026 - 6:30

score 453 · Answer 5 · 2026-04-12 13:58:44

453

Views

Derivation for angular acceleration from quaternion profile

Published on 12 Apr 2026 - 13:58

score 203 · Answer 6 · 2026-04-13 08:30:37

203

Views

What was the Hamilton's initial problem that led to him inventing quaternion?

Published on 13 Apr 2026 - 8:30

score 108 · Answer 7 · 2026-05-10 12:17:17

108

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Pre-image of element in quaternion algebra

Published on 10 May 2026 - 12:17

score 116 · Answer 8 · 2026-05-10 17:19:16

116

Views

Quaternion Group: Determine that $i^4 = 1$.

Published on 10 May 2026 - 17:19

score 170 · Answer 9 · 2026-04-15 15:23:29

170

Views

Proving that unit quaternions are a 3 Manifold

Published on 15 Apr 2026 - 15:23

score 126 · Answer 10 · 2026-04-13 18:47:16

126

Views

Showing that there is not a global diffeomorphism between unit quaternions and $\mathrm{SO}(3)$

Published on 13 Apr 2026 - 18:47

score 422 · Answer 11 · 2026-04-16 20:29:19

422

Views

Interpolation between three-dimensional rotations

Published on 16 Apr 2026 - 20:29

score 130 · Answer 12 · 2026-04-16 14:17:09

130

Views

Existence of conjugation on a quaternion algebra given a separable subalgebra

Published on 16 Apr 2026 - 14:17

score 297 · Answer 13 · 2026-05-10 17:21:08

297

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If we are handed the presentation $\langle i,j,k \mid i^2=j^2=k^2=ijk \rangle$ and nothing more, can we deduce that this is the quaternion group?

Published on 10 May 2026 - 17:21

score 47 · Answer 14 · 2026-04-16 07:32:59

47

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If x,y are orthonormal vectors with quaternionic coefficients, can we say that $\bar{x},\bar{y}$ are orthonormal?

Published on 16 Apr 2026 - 7:32

score 169 · Answer 15 · 2026-03-25 09:32:25

169

Views

Quaternion algebra using analytic continuation

Published on 25 Mar 2026 - 9:32

List Question

Hasse's classification of Quaternion algebras (over number fields)

Do the octonions contain infinitely many copies of the quaternions?

Prove or disprove ring $\mathbb{C}\times \mathbb{C}$ and ring Quaternion $H$ are isomorphic

derivative action of isometries on hyperbolic 3-space (upper half-space model)

Derivation for angular acceleration from quaternion profile

What was the Hamilton's initial problem that led to him inventing quaternion?

Pre-image of element in quaternion algebra

Quaternion Group: Determine that $i^4 = 1$.

Proving that unit quaternions are a 3 Manifold

Showing that there is not a global diffeomorphism between unit quaternions and $\mathrm{SO}(3)$

Interpolation between three-dimensional rotations

Existence of conjugation on a quaternion algebra given a separable subalgebra

If we are handed the presentation $\langle i,j,k \mid i^2=j^2=k^2=ijk \rangle$ and nothing more, can we deduce that this is the quaternion group?

If x,y are orthonormal vectors with quaternionic coefficients, can we say that $\bar{x},\bar{y}$ are orthonormal?

Quaternion algebra using analytic continuation

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