List questions from exterior-algebra

Published on 05 Mar 2013 - 18:14

177

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What is the image of the map $\hom(V,V) \to \hom(\wedge^k V,\wedge^k V)$?

Published on 15 Mar 2013 - 14:31

134

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how prove $\rho\wedge d\rho=0$ and how to show if $d(f\rho)=0$ for $f$ on $\Bbb R^{n}$ then $\rho\wedge d\rho=0$

Published on 18 Mar 2013 - 15:10

160

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Prove that if $η$ is exact, then $η∧β$ is also exact.

Published on 18 Mar 2013 - 18:00

189

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If $ \eta $ and $ \varphi $ are closed differential forms, then prove that $ \varphi \wedge \eta $ is a closed differential form.

Published on 18 Mar 2013 - 20:40

139

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Use the Fundamental Theorem to deduce the formula for the area of an ellipse.

Published on 19 Mar 2013 - 8:28

79

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Show that $af∧bg=(ab)f∧g$

Published on 19 Mar 2013 - 14:31

62

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2-form associated with a skew map

Published on 19 Mar 2013 - 17:49

133

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Compute the value of the exterior $2$-form

Published on 22 Mar 2013 - 15:46

311

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Computing wedge product of two 1-forms.

Published on 24 Mar 2013 - 20:20

1k

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Without choosing bases, how to show that the determinant is multiplicative in this sense?

Published on 26 Mar 2013 - 3:29

3.1k

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Decomposable elements of $\Lambda^k(V)$

Published on 26 Mar 2013 - 8:54

293

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Basis for the space of $p$-forms

Published on 27 Mar 2013 - 9:36

447

Views

Exterior power on short exact sequence of modules with free middle term

Published on 05 Aug 2020 - 9:52

318

Views

Geometric Algebra: getting the geometric interpretation of $k$-blades

Published on 26 Mar 2026 - 21:26

List Question

Associativity property of wedge products

What is the image of the map $\hom(V,V) \to \hom(\wedge^k V,\wedge^k V)$?

how prove $\rho\wedge d\rho=0$ and how to show if $d(f\rho)=0$ for $f$ on $\Bbb R^{n}$ then $\rho\wedge d\rho=0$

Prove that if $η$ is exact, then $η∧β$ is also exact.

If $ \eta $ and $ \varphi $ are closed differential forms, then prove that $ \varphi \wedge \eta $ is a closed differential form.

Use the Fundamental Theorem to deduce the formula for the area of an ellipse.

Show that $af∧bg=(ab)f∧g$

2-form associated with a skew map

Compute the value of the exterior $2$-form

Computing wedge product of two 1-forms.

Without choosing bases, how to show that the determinant is multiplicative in this sense?

Decomposable elements of $\Lambda^k(V)$

Basis for the space of $p$-forms

Exterior power on short exact sequence of modules with free middle term

Geometric Algebra: getting the geometric interpretation of $k$-blades

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