List questions from multilinear-algebra

Published on 28 May 2013 - 20:47

363

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What does the partial trace of an operator tell me about the full operator?

Published on 31 May 2013 - 15:03

97

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Representing a nonzero bilinear alternating form on a two-dimensional space by $\bigl(\begin{smallmatrix} 0&1\cr-1&0\end{smallmatrix}\bigr)$.

Published on 28 Mar 2026 - 13:28

40.1k

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Multiplying 3D matrix

Published on 02 Jun 2013 - 16:58

1.4k

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The definition of addition on the tensor product of Hilbert spaces

Published on 10 Jun 2013 - 21:48

1.4k

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Multi-affine function

Published on 12 Jun 2013 - 6:16

596

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The interior product and the isomorphism $\bigwedge^k(V^*)\otimes\bigwedge^n(V)\cong\bigwedge^{n-k}(V)$

Published on 13 Jun 2013 - 3:46

1k

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Symmetric and exterior powers of a projective (flat) module are projective (flat)

Published on 29 Mar 2026 - 4:34

468

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basis-independent isomorphism

Published on 18 Jun 2013 - 0:27

133

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Is every almost complex structure tame up to sign?

Published on 23 Feb 2026 - 17:24

119

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Computation of trace

Published on 19 Jun 2013 - 4:24

1.2k

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$2$ out of $3$ property of the unitary group

Published on 23 Feb 2026 - 17:27

2.7k

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Why the words "inner" and "outer" to designate products?

Published on 21 Jun 2013 - 13:41

324

Views

Alternating tensors vs $p$-vectors

Published on 29 Mar 2026 - 4:33

263

Views

Confusion about when an alternating tensor changes sign

Published on 21 Jun 2013 - 15:36

List Question

Tensors as mutlilinear maps

What does the partial trace of an operator tell me about the full operator?

Representing a nonzero bilinear alternating form on a two-dimensional space by $\bigl(\begin{smallmatrix} 0&1\cr-1&0\end{smallmatrix}\bigr)$.

Multiplying 3D matrix

The definition of addition on the tensor product of Hilbert spaces

Multi-affine function

The interior product and the isomorphism $\bigwedge^k(V^*)\otimes\bigwedge^n(V)\cong\bigwedge^{n-k}(V)$

Symmetric and exterior powers of a projective (flat) module are projective (flat)

basis-independent isomorphism

Is every almost complex structure tame up to sign?

Computation of trace

$2$ out of $3$ property of the unitary group

Why the words "inner" and "outer" to designate products?

Alternating tensors vs $p$-vectors

Confusion about when an alternating tensor changes sign

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