Question

How to get the missing brick of the proof $A \circ P_\sigma = P_\sigma \circ A$ using permutations?

score 44 · Answer 1 · 2026-03-17 22:57:49

44

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How to get the missing brick of the proof $A \circ P_\sigma = P_\sigma \circ A$ using permutations?

Published on 17 Mar 2026 - 22:57

score 89 · Answer 2 · 2026-03-22 03:23:57

89

Views

How to prove that $f\otimes g: V\otimes W\to X\otimes Y$ is a monomorphism

Published on 22 Mar 2026 - 3:23

score 321 · Answer 3 · 2026-03-22 08:21:51

321

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Is the natural norm on the exterior algebra submultiplicative?

Published on 22 Mar 2026 - 8:21

score 116 · Answer 4 · 2026-03-20 06:41:48

116

Views

A non-zero quantity associated to an invertible skew-symmetric matrix of even order.

Published on 20 Mar 2026 - 6:41

score 647 · Answer 5 · 2026-03-21 20:18:15

647

Views

Silly Question about tensor products and universal property

Published on 21 Mar 2026 - 20:18

score 2.4k · Answer 6 · 2026-03-20 10:57:55

2.4k

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Why are bilinear maps represented as members of the tensor space $V^\otimes V^$ opposed to just members of the tensor space $V\otimes V$?

Published on 20 Mar 2026 - 10:57

score 1k · Answer 7 · 2026-03-22 03:57:02

1k

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universal property of the $n$-fold tensor product

Published on 22 Mar 2026 - 3:57

score 159 · Answer 8 · 2026-03-20 06:46:05

159

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If $f:(\mathbb{K}^n)^n \rightarrow \mathbb{K}$ is multilinear and alternating, prove: $f(T(u_1),T(u_2),...,T(u_n)=\det(A)f(u_1,...,u_n)$

Published on 20 Mar 2026 - 6:46

score 523 · Answer 9 · 2026-03-20 13:08:47

523

Views

Image of Young symmetrizer on tensor product decomposition

Published on 20 Mar 2026 - 13:08

score 93 · Answer 10 · 2026-03-24 08:13:32

93

Views

Proof of $Af = \sum_{\sigma \in S_{k}} (Sgn \sigma) \sigma f$ is an alternating function.

Published on 24 Mar 2026 - 8:13

score 83 · Answer 11 · 2026-03-24 05:08:31

83

Views

Let $\omega$ be an (n-1)-form on $\mathbb{R}^n-{0}$, calculate $d\omega$

Published on 24 Mar 2026 - 5:08

score 61 · Answer 12 · 2026-03-23 16:15:00

61

Views

Local Representation theorems on Banach spaces from paper by S.Dayal

Published on 23 Mar 2026 - 16:15

score 236 · Answer 13 · 2026-03-24 20:30:26

236

Views

Difficulties about Tensor Products

Published on 24 Mar 2026 - 20:30

score 178 · Answer 14 · 2026-03-24 20:33:22

178

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Is it true that $Alt(Alt(T)\bigotimes S) = Alt(T \bigotimes S)$ where $T$ and $S$ are k-tensors?

Published on 24 Mar 2026 - 20:33

score 2.7k · Answer 15 · 2026-03-17 16:20:21

2.7k

Views

Tensor Products,Universal Property and a particular identification.

Published on 17 Mar 2026 - 16:20

List Question

How to get the missing brick of the proof $A \circ P_\sigma = P_\sigma \circ A$ using permutations?

How to prove that $f\otimes g: V\otimes W\to X\otimes Y$ is a monomorphism

Is the natural norm on the exterior algebra submultiplicative?

A non-zero quantity associated to an invertible skew-symmetric matrix of even order.

Silly Question about tensor products and universal property

Why are bilinear maps represented as members of the tensor space $V^\otimes V^$ opposed to just members of the tensor space $V\otimes V$?

universal property of the $n$-fold tensor product

If $f:(\mathbb{K}^n)^n \rightarrow \mathbb{K}$ is multilinear and alternating, prove: $f(T(u_1),T(u_2),...,T(u_n)=\det(A)f(u_1,...,u_n)$

Image of Young symmetrizer on tensor product decomposition

Proof of $Af = \sum_{\sigma \in S_{k}} (Sgn \sigma) \sigma f$ is an alternating function.

Let $\omega$ be an (n-1)-form on $\mathbb{R}^n-{0}$, calculate $d\omega$

Local Representation theorems on Banach spaces from paper by S.Dayal

Difficulties about Tensor Products

Is it true that $Alt(Alt(T)\bigotimes S) = Alt(T \bigotimes S)$ where $T$ and $S$ are k-tensors?

Tensor Products,Universal Property and a particular identification.

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