List questions from multilinear-algebra

Published on 18 Feb 2015 - 1:29

925

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What does it mean to say that determinant is multilinear?

Published on 20 Feb 2015 - 17:56

3.3k

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Why is quadratic form defined via a symmetric bilinear form?

Published on 21 Feb 2015 - 15:09

936

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why integrating only alternating forms?

Published on 22 Feb 2015 - 19:46

111

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Invariants of $V^{\otimes N}$.

Published on 24 Feb 2015 - 4:23

161

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Natural Isomorphism between $V^\otimes W^$ and $\mathcal L^2(V,W; F)$.

Published on 26 Feb 2015 - 7:20

75

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Define $f: V \times V \rightarrow \mathbb{K}$ ($\mathbb{K}$ field), by $f(u, v) = \langle u, Av\rangle$

Published on 27 Feb 2015 - 1:13

40

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What is this map between tensor spaces called? (Change of coordinates).

Published on 01 Mar 2015 - 5:22

4.1k

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Basis for Tensor Product of Infinite Dimensional Vector Spaces

Published on 06 Mar 2015 - 8:59

3k

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Why the whole exterior algebra?

Published on 10 Mar 2015 - 20:06

307

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Exterior power of multilinear functions applied to linearly dependent vectors is zero

Published on 12 Mar 2015 - 21:12

4.5k

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Is it true that every element of $V \otimes W$ is a simple tensor $v \otimes w$?

Published on 16 Mar 2015 - 5:08

242

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Tensor Invariants

Published on 19 Mar 2015 - 18:59

319

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Plücker Relation: misunderstanding?

Published on 20 Mar 2015 - 19:55

204

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What do we call $R$-bilinear maps $V,W \rightarrow R$?

Published on 21 Mar 2015 - 14:52

List Question

Isomorphism between different definitions of symmetric tensors

What does it mean to say that determinant is multilinear?

Why is quadratic form defined via a symmetric bilinear form?

why integrating only alternating forms?

Invariants of $V^{\otimes N}$.

Natural Isomorphism between $V^\otimes W^$ and $\mathcal L^2(V,W; F)$.

Define $f: V \times V \rightarrow \mathbb{K}$ ($\mathbb{K}$ field), by $f(u, v) = \langle u, Av\rangle$

What is this map between tensor spaces called? (Change of coordinates).

Basis for Tensor Product of Infinite Dimensional Vector Spaces

Why the whole exterior algebra?

Exterior power of multilinear functions applied to linearly dependent vectors is zero

Is it true that every element of $V \otimes W$ is a simple tensor $v \otimes w$?

Tensor Invariants

Plücker Relation: misunderstanding?

What do we call $R$-bilinear maps $V,W \rightarrow R$?

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