Question

Are antilinear forms part of the tensor algebra of a $\mathbb{C}$-vector field?

score 114 · Answer 1 · 2026-04-15 14:41:48

114

Views

Are antilinear forms part of the tensor algebra of a $\mathbb{C}$-vector field?

Published on 15 Apr 2026 - 14:41

score 249 · Answer 2 · 2026-04-14 21:03:32

249

Views

If there are $2$ linearly independent vectors $x,y \in X$ such that $||x+y||=||x||+||y||$, then the unit sphere $S(X)$ contains an interval

Published on 14 Apr 2026 - 21:03

score 202 · Answer 3 · 2026-04-11 04:25:57

202

Views

Expressing tensor product in terms of symmetric product and exterior product

Published on 11 Apr 2026 - 4:25

score 40 · Answer 4 · 2026-04-13 13:21:30

40

Views

Inverse function being onto.

Published on 13 Apr 2026 - 13:21

score 29 · Answer 5 · 2026-04-17 14:17:13

29

Views

Is $\mathbb{F}_2[X]$ x $\mathbb{F}_2[X]$ x $\mathbb{F}_2[X]\rightarrow$ $\mathbb{F}_2$ multilinear?

Published on 17 Apr 2026 - 14:17

score 197 · Answer 6 · 2026-04-15 07:02:03

197

Views

Multilinear form is alternating if the underlying field has characteristics different from 2

Published on 15 Apr 2026 - 7:02

score 29 · Answer 7 · 2026-04-15 05:26:01

29

Views

Switch to another object of same tensor 'rank' to introduce a different class of multilinear maps

Published on 15 Apr 2026 - 5:26

score 106 · Answer 8 · 2026-04-16 01:26:30

106

Views

Prove that the image of the bilinear application is not a vector space

Published on 16 Apr 2026 - 1:26

score 110 · Answer 9 · 2026-05-05 09:40:55

110

Views

Convert from one tensor canonical form to another

Published on 05 May 2026 - 9:40

score 72 · Answer 10 · 2026-04-14 03:26:56

72

Views

Determining values of multilinear forms/ differential forms

Published on 14 Apr 2026 - 3:26

score 146 · Answer 11 · 2026-04-10 17:25:51

146

Views

How to determine an integral of a differential form?

Published on 10 Apr 2026 - 17:25

score 137 · Answer 12 · 2026-04-13 06:08:04

137

Views

How to prove that the definition of exterior product of differential forms is not ambiguous?

Published on 13 Apr 2026 - 6:08

score 463 · Answer 13 · 2026-05-10 11:54:50

463

Views

Derivative of cross product

Published on 10 May 2026 - 11:54

score 118 · Answer 14 · 2026-04-14 18:01:00

118

Views

Why are $(1,0)$ and $(0,1)$ tensors antisymmetric?

Published on 14 Apr 2026 - 18:01

score 389 · Answer 15 · 2026-04-10 14:58:06

389

Views

Induced inner product on tensor powers.

Published on 10 Apr 2026 - 14:58

List Question

Are antilinear forms part of the tensor algebra of a $\mathbb{C}$-vector field?

If there are $2$ linearly independent vectors $x,y \in X$ such that $||x+y||=||x||+||y||$, then the unit sphere $S(X)$ contains an interval

Expressing tensor product in terms of symmetric product and exterior product

Inverse function being onto.

Is $\mathbb{F}_2[X]$ x $\mathbb{F}_2[X]$ x $\mathbb{F}_2[X]\rightarrow$ $\mathbb{F}_2$ multilinear?

Multilinear form is alternating if the underlying field has characteristics different from 2

Switch to another object of same tensor 'rank' to introduce a different class of multilinear maps

Prove that the image of the bilinear application is not a vector space

Convert from one tensor canonical form to another

Determining values of multilinear forms/ differential forms

How to determine an integral of a differential form?

How to prove that the definition of exterior product of differential forms is not ambiguous?

Derivative of cross product

Why are $(1,0)$ and $(0,1)$ tensors antisymmetric?

Induced inner product on tensor powers.

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