Question

How does linear algebra over the octonions and other division algebras work?

score 623 · Answer 1 · 2026-03-24 19:45:36

623

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How does linear algebra over the octonions and other division algebras work?

Published on 24 Mar 2026 - 19:45

score 240 · Answer 2 · 2026-03-25 08:35:45

240

Views

Unital nonalternative real division algebras of dimension 8

Published on 25 Mar 2026 - 8:35

score 407 · Answer 3 · 2026-03-24 23:45:17

407

Views

Is it possible to plug hypercomplex numbers into the Riemann Zeta function?

Published on 24 Mar 2026 - 23:45

score 914 · Answer 4 · 2026-03-25 07:00:01

914

Views

Why is not possible to show that $S^7$ is a Lie Group in the following way?

Published on 25 Mar 2026 - 7:00

score 110 · Answer 5 · 2026-03-25 02:43:43

110

Views

The order of elements in finite octonions

Published on 25 Mar 2026 - 2:43

score 186 · Answer 6 · 2026-03-25 02:53:03

186

Views

Classification of subalgebras of composition algebras

Published on 25 Mar 2026 - 2:53

score 317 · Answer 7 · 2026-03-25 05:58:22

317

Views

Do the octonions contain infinitely many copies of the quaternions?

Published on 25 Mar 2026 - 5:58

score 39 · Answer 8 · 2026-03-24 23:06:51

39

Views

If there can exist a model of the octonions without complex numbers

Published on 24 Mar 2026 - 23:06

score 2.5k · Answer 9 · 2026-03-25 06:37:09

2.5k

Views

If there are any 3nion, 5nion, 7nion, 9nion, 10nion, etc.

Published on 25 Mar 2026 - 6:37

score 86 · Answer 10 · 2026-03-24 20:26:32

86

Views

The isotropy subgroup of the action of Spin(7) on the Grassmannian G(3,8)

Published on 24 Mar 2026 - 20:26

score 75 · Answer 11 · 2026-03-24 21:21:08

75

Views

Octonion Grassmanian?

Published on 24 Mar 2026 - 21:21

score 59 · Answer 12 · 2026-03-25 02:57:44

59

Views

Hermitian Octonion matrices?

Published on 25 Mar 2026 - 2:57

score 134 · Answer 13 · 2026-03-25 06:13:29

134

Views

Java Library that supports Quaternions Octonions, Sedenions?

Published on 25 Mar 2026 - 6:13

score 57 · Answer 14 · 2026-03-25 03:03:42

57

Views

Commutation or Anti-commutation of the corresponding imaginary units of the octonions and split-octonions

Published on 25 Mar 2026 - 3:03

score 200 · Answer 15 · 2026-03-25 03:01:19

200

Views

Construction of the Octonions

Published on 25 Mar 2026 - 3:01

List Question

How does linear algebra over the octonions and other division algebras work?

Unital nonalternative real division algebras of dimension 8

Is it possible to plug hypercomplex numbers into the Riemann Zeta function?

Why is not possible to show that $S^7$ is a Lie Group in the following way?

The order of elements in finite octonions

Classification of subalgebras of composition algebras

Do the octonions contain infinitely many copies of the quaternions?

If there can exist a model of the octonions without complex numbers

If there are any 3nion, 5nion, 7nion, 9nion, 10nion, etc.

The isotropy subgroup of the action of Spin(7) on the Grassmannian G(3,8)

Octonion Grassmanian?

Hermitian Octonion matrices?

Java Library that supports Quaternions Octonions, Sedenions?

Commutation or Anti-commutation of the corresponding imaginary units of the octonions and split-octonions

Construction of the Octonions

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