List questions from exterior-algebra

Published on 06 Apr 2016 - 8:45

182

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Exterior power of a free module

Published on 10 Apr 2016 - 0:44

235

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Exterior derivative of a two-form with conditions

Published on 12 Apr 2016 - 13:44

1.5k

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Prove the pullback of the wedge product is the wedge product of the pullbacks.

Published on 14 Apr 2016 - 8:59

253

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Prove that $p-$form $\omega$ on $M\times N$ is $\delta \pi(\alpha)$ iff $i(X)\omega=0$ and $L_X\omega=0$

Published on 27 Mar 2026 - 1:00

431

Views

Frank Warner's definition of the Hodge star

Published on 26 Mar 2026 - 21:27

76

Views

Noncanonical isomorphism of spaces of differential forms

Published on 22 Apr 2016 - 23:09

327

Views

Is this an alternate characterization of $\lambda$-rings? Or, what is like a $\lambda$-ring but for symmetric rather than exterior powers?

Published on 25 Mar 2026 - 1:17

108

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What is the motivation for wanting to remove redundant terms that arise from the wedge product of two multilinear functions?

Published on 24 Apr 2016 - 21:31

789

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When do exterior and tensor algebras commute with dual spaces?

Published on 25 Apr 2016 - 6:54

572

Views

Prove the exterior derivative of the following (n-1) form is zero

Published on 30 Apr 2016 - 3:34

74

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Show that $(x\land y)z + (y\land z)x + (z\land x)y=0.$ where $x\land y=(x \times y)\cdot N$.

Published on 02 May 2016 - 18:28

178

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Foiling two tensor products

Published on 04 May 2016 - 7:56

465

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Connecting the regular representation of $\mathfrak{so}(3)$ and the exterior algebra of $\mathbb{R}^3$

Published on 05 May 2016 - 20:46

5.6k

Views

Why is the wedge product of a 1-form and itself $0$?

Published on 09 May 2016 - 20:50

List Question

Wedge product on free module

Exterior power of a free module

Exterior derivative of a two-form with conditions

Prove the pullback of the wedge product is the wedge product of the pullbacks.

Prove that $p-$form $\omega$ on $M\times N$ is $\delta \pi(\alpha)$ iff $i(X)\omega=0$ and $L_X\omega=0$

Frank Warner's definition of the Hodge star

Noncanonical isomorphism of spaces of differential forms

Is this an alternate characterization of $\lambda$-rings? Or, what is like a $\lambda$-ring but for symmetric rather than exterior powers?

What is the motivation for wanting to remove redundant terms that arise from the wedge product of two multilinear functions?

When do exterior and tensor algebras commute with dual spaces?

Prove the exterior derivative of the following (n-1) form is zero

Show that $(x\land y)z + (y\land z)x + (z\land x)y=0.$ where $x\land y=(x \times y)\cdot N$.

Foiling two tensor products

Connecting the regular representation of $\mathfrak{so}(3)$ and the exterior algebra of $\mathbb{R}^3$

Why is the wedge product of a 1-form and itself $0$?

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