Question

What is the operation between a bivector and a vector that outputs another vector?

score 479 · Answer 1 · 2023-09-17 07:50:24

479

Views

What is the operation between a bivector and a vector that outputs another vector?

Published on 17 Sep 2023 - 7:50

score 71 · Answer 2 · 2026-03-27 09:19:05

71

Views

Orthogonal complements in exterior powers

Published on 27 Mar 2026 - 9:19

score 53 · Answer 3 · 2026-03-25 14:22:04

53

Views

Do unit bivectors square to -1 in vector spaces of any dimension?

Published on 25 Mar 2026 - 14:22

score 139 · Answer 4 · 2023-10-01 08:40:03

139

Views

When wedge power of a vector nulls

Published on 01 Oct 2023 - 8:40

score 77 · Answer 5 · 2023-10-04 11:24:50

77

Views

A vector bundle whose fibers are isomorphic to an exterior algebra of a vector space is an exterior bundle.

Published on 04 Oct 2023 - 11:24

score 26 · Answer 6 · 2026-03-27 07:48:13

26

Views

Higher product rule for graded derivations

Published on 27 Mar 2026 - 7:48

score 128 · Answer 7 · 2023-10-10 19:00:00

128

Views

If $M$ is a free $R$-module of rank $n$, then the $i^{\operatorname{th}}$ exterior algebra is free of dimension $n$ choose $i$.

Published on 10 Oct 2023 - 19:00

score 46 · Answer 8 · 2026-03-25 22:25:06

46

Views

How to compute exterior derivative of generalized angular form in $\mathbb R^n$

Published on 25 Mar 2026 - 22:25

score 219 · Answer 9 · 2026-03-27 07:49:54

219

Views

Levi-Civita symbol for cross product generalisation, geometric interpretation, orthogonal subspace

Published on 27 Mar 2026 - 7:49

score 50 · Answer 10 · 2023-10-12 00:27:29

50

Views

$R$-action of a group-ring $\mathbb{Z}[G]$ on the free module $M = \mathbb{Z}e_1 + \mathbb{Z}e_2$ of rank $2$.

Published on 12 Oct 2023 - 0:27

score 100 · Answer 11 · 2026-03-27 14:02:10

100

Views

Intrinsic definition of tensor, tensor density, pseudotensors, even and odd tensors

Published on 27 Mar 2026 - 14:02

score 27 · Answer 12 · 2026-03-25 02:10:22

27

Views

Sufficient conditions for a vector bundle to be an exterior bundle of some vector bundle

Published on 25 Mar 2026 - 2:10

score 44 · Answer 13 · 2026-03-25 07:43:02

44

Views

Mixed symmetric algebra and applications to linear algebra?

Published on 25 Mar 2026 - 7:43

score 42 · Answer 14 · 2026-03-27 04:17:33

42

Views

Understanding a figure showing the wedge product

Published on 27 Mar 2026 - 4:17

score 70 · Answer 15 · 2026-03-25 14:18:18

70

Views

On vector multiplication

Published on 25 Mar 2026 - 14:18

List Question

What is the operation between a bivector and a vector that outputs another vector?

Orthogonal complements in exterior powers

Do unit bivectors square to -1 in vector spaces of any dimension?

When wedge power of a vector nulls

A vector bundle whose fibers are isomorphic to an exterior algebra of a vector space is an exterior bundle.

Higher product rule for graded derivations

If $M$ is a free $R$-module of rank $n$, then the $i^{\operatorname{th}}$ exterior algebra is free of dimension $n$ choose $i$.

How to compute exterior derivative of generalized angular form in $\mathbb R^n$

Levi-Civita symbol for cross product generalisation, geometric interpretation, orthogonal subspace

$R$-action of a group-ring $\mathbb{Z}[G]$ on the free module $M = \mathbb{Z}e_1 + \mathbb{Z}e_2$ of rank $2$.

Intrinsic definition of tensor, tensor density, pseudotensors, even and odd tensors

Sufficient conditions for a vector bundle to be an exterior bundle of some vector bundle

Mixed symmetric algebra and applications to linear algebra?

Understanding a figure showing the wedge product

On vector multiplication

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