List questions from multilinear-algebra

Published on 16 Apr 2018 - 22:56

147

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Components of contravariant 2-tensor in new bases

Published on 17 Apr 2018 - 5:41

103

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How to show sum of two elements is decomposable.

Published on 20 Apr 2018 - 15:00

34

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Does an arbitrary multilinear $k$-form $T: V \times.... \times V \mapsto \mathbb{R}$ have a matrix reprsentation?

Published on 25 Apr 2018 - 16:02

966

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Wedge product and its relation to determinant.

Published on 29 Apr 2018 - 15:48

2k

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Tensor Product Vector Space Example

Published on 02 May 2018 - 19:16

177

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Tensor Products: Universal Property or Maps

Published on 02 May 2018 - 23:50

58

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$\ker(β : V \otimes V → k)$ contains the subspace ${V}^{ \perp}\otimes V +V \otimes {V}^{\perp}$,

Published on 16 May 2018 - 13:14

139

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Dimension of "self-dual" and "anti-self-dual"

Published on 20 May 2018 - 22:10

1.1k

Views

Determinant of a matrix over a field of characteristic 2

Published on 22 May 2018 - 20:14

51

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Every $2$-Forms on $\mathbb{R}^3$ can be written as edge of $1$-Forms

Published on 23 May 2018 - 5:00

51

Views

non-commutative multilinear maps?

Published on 24 May 2018 - 19:56

147

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Proof that the given sequence is exact

Published on 02 Jun 2018 - 21:08

697

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Module of differential forms over the ring of smooth functions

Published on 03 Jun 2018 - 14:26

554

Views

How can the stress tensor be a contravariant second order tensor?

Published on 05 Jun 2018 - 22:29

List Question

$\phi_1\wedge\dots\wedge\phi_p(v_1,\dots,v_p)=\frac{1}{p!}\det[\phi_i(v_j)]$

Components of contravariant 2-tensor in new bases

How to show sum of two elements is decomposable.

Does an arbitrary multilinear $k$-form $T: V \times.... \times V \mapsto \mathbb{R}$ have a matrix reprsentation?

Wedge product and its relation to determinant.

Tensor Product Vector Space Example

Tensor Products: Universal Property or Maps

$\ker(β : V \otimes V → k)$ contains the subspace ${V}^{ \perp}\otimes V +V \otimes {V}^{\perp}$,

Dimension of "self-dual" and "anti-self-dual"

Determinant of a matrix over a field of characteristic 2

Every $2$-Forms on $\mathbb{R}^3$ can be written as edge of $1$-Forms

non-commutative multilinear maps?

Proof that the given sequence is exact

Module of differential forms over the ring of smooth functions

How can the stress tensor be a contravariant second order tensor?

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