List questions from tensor-decomposition

Published on 30 Oct 2018 - 12:52

344

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what does it mean to be symmetric for tensors and Kronecker delta symbols and help explain this answer to me

Published on 27 Nov 2018 - 17:23

282

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Does every subspace of the exterior algebra of dimension $>1$ contain a decomposable element?

Published on 02 Jan 2019 - 13:14

1.7k

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Why is the exterior power $\bigwedge^kV$ an irreducible representation of $GL(V)$?

Published on 03 Jan 2019 - 8:54

105

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Convert from one tensor canonical form to another

Published on 05 Jan 2019 - 19:29

157

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A characterization of the subgroup of $\text{GL}(\bigwedge^k V)$ which preserves pure tensors?

Published on 20 Jan 2019 - 15:12

158

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In which degrees there exist non-decomposable elements in the exterior algebra?

Published on 21 Jan 2019 - 13:23

109

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Is every decomposable basis for $\bigwedge^kV$ "standard"?

Published on 27 Jan 2019 - 7:56

63

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Is every basis for $\bigwedge^kV$ satisfying a "complementary" property a rescaling of a "standard" basis?

Published on 28 Jan 2019 - 9:27

60

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Is "being decomposable" preserved under taking a subspace?

Published on 03 Feb 2019 - 11:53

121

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Can we "mod out" a common subspace in the Grassmannian inside the exterior algebra?

Published on 03 Feb 2019 - 16:56

113

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Which subspaces of exterior power have decomposable bases?

Published on 12 Feb 2019 - 14:19

191

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Are standard bases for the exterior power essentially unique?

Published on 04 Mar 2019 - 15:38

459

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Can every closed differential form be expressed via constant coefficients?

Published on 06 Jul 2019 - 8:11

210

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Does the kernel of every alternating form contain a decomposable element?

Published on 07 Jul 2019 - 14:47

List Question

Maximal rank of tensors in $F^n\otimes ...\otimes F^n$.

what does it mean to be symmetric for tensors and Kronecker delta symbols and help explain this answer to me

Does every subspace of the exterior algebra of dimension $>1$ contain a decomposable element?

Why is the exterior power $\bigwedge^kV$ an irreducible representation of $GL(V)$?

Convert from one tensor canonical form to another

A characterization of the subgroup of $\text{GL}(\bigwedge^k V)$ which preserves pure tensors?

In which degrees there exist non-decomposable elements in the exterior algebra?

Is every decomposable basis for $\bigwedge^kV$ "standard"?

Is every basis for $\bigwedge^kV$ satisfying a "complementary" property a rescaling of a "standard" basis?

Is "being decomposable" preserved under taking a subspace?

Can we "mod out" a common subspace in the Grassmannian inside the exterior algebra?

Which subspaces of exterior power have decomposable bases?

Are standard bases for the exterior power essentially unique?

Can every closed differential form be expressed via constant coefficients?

Does the kernel of every alternating form contain a decomposable element?

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