Question

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

score 53 · Answer 1 · 2026-05-07 10:05:19

53

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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 07 May 2026 - 10:05

score 98 · Answer 2 · 2026-05-02 20:09:07

98

Views

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

Published on 02 May 2026 - 20:09

score 331 · Answer 3 · 2026-05-10 12:19:03

331

Views

Is the natural norm on the exterior algebra submultiplicative?

Published on 10 May 2026 - 12:19

score 121 · Answer 4 · 2026-04-29 12:27:45

121

Views

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

Published on 29 Apr 2026 - 12:27

score 654 · Answer 5 · 2026-04-29 12:15:15

654

Views

Silly Question about tensor products and universal property

Published on 29 Apr 2026 - 12:15

score 2.4k · Answer 6 · 2026-05-02 18:20:45

2.4k

Views

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 02 May 2026 - 18:20

score 1k · Answer 7 · 2026-04-29 12:28:02

1k

Views

universal property of the $n$-fold tensor product

Published on 29 Apr 2026 - 12:28

score 166 · Answer 8 · 2026-05-02 23:48:52

166

Views

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 02 May 2026 - 23:48

score 532 · Answer 9 · 2026-05-05 04:10:59

532

Views

Image of Young symmetrizer on tensor product decomposition

Published on 05 May 2026 - 4:10

score 98 · Answer 10 · 2026-05-02 18:28:29

98

Views

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

Published on 02 May 2026 - 18:28

score 87 · Answer 11 · 2026-04-29 12:27:45

87

Views

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

Published on 29 Apr 2026 - 12:27

score 67 · Answer 12 · 2026-04-29 12:28:00

67

Views

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

Published on 29 Apr 2026 - 12:28

score 244 · Answer 13 · 2026-05-10 12:29:48

244

Views

Difficulties about Tensor Products

Published on 10 May 2026 - 12:29

score 184 · Answer 14 · 2026-05-10 12:35:31

184

Views

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

Published on 10 May 2026 - 12:35

score 2.7k · Answer 15 · 2026-05-10 12:32:27

2.7k

Views

Tensor Products,Universal Property and a particular identification.

Published on 10 May 2026 - 12:32

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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