List questions from exterior-algebra

Published on 05 Dec 2018 - 4:23

967

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The Hodge star operator and the wedge product: $\alpha \wedge (\star \beta)$

Published on 05 Dec 2018 - 14:49

195

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Using 6th dimensional vector to rotate a tesseract

Published on 21 Mar 2026 - 16:27

132

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How many independent components are there in the exterior product of two one forms?

Published on 14 Dec 2018 - 11:16

570

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General commutators of derivations of the exterior algebra

Published on 22 Mar 2026 - 9:06

324

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$\omega$ a closed 2-form and $\bigwedge_{i=1}^n \omega \ne 0$ on a compact orientable smooth $2n$-manifold w/o boundary, $M$, then $H^2(M) \ne 0$.

Published on 19 Dec 2018 - 3:17

60

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Covariant Exterior Derivative action on the $\mathrm{End}(E)$-valued p-forms

Published on 23 Dec 2018 - 18:24

153

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The non-zero exterior product

Published on 29 Dec 2018 - 14:10

283

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

Published on 23 Feb 2026 - 0:07

1.7k

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

Published on 23 Feb 2026 - 0:05

1.2k

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Questions About the Proof of Cauchy–Pompeiu Integral Formula.

Published on 25 Mar 2026 - 7:45

84

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Decomposing $k$th exterior powers $\Lambda^kV(\omega_1)$

Published on 09 Jan 2019 - 21:48

503

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Functorial proof of Cayley-Hamilton using exterior powers

Published on 25 Mar 2026 - 6:10

2.9k

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Leibniz rule for exterior derivative of wedge product

Published on 25 Mar 2026 - 1:27

158

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

Published on 23 Feb 2026 - 0:06

List Question

Identifying a wedge-to-metric formula

The Hodge star operator and the wedge product: $\alpha \wedge (\star \beta)$

Using 6th dimensional vector to rotate a tesseract

How many independent components are there in the exterior product of two one forms?

General commutators of derivations of the exterior algebra

$\omega$ a closed 2-form and $\bigwedge_{i=1}^n \omega \ne 0$ on a compact orientable smooth $2n$-manifold w/o boundary, $M$, then $H^2(M) \ne 0$.

Covariant Exterior Derivative action on the $\mathrm{End}(E)$-valued p-forms

The non-zero exterior product

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 $GL(V)$?

Questions About the Proof of Cauchy–Pompeiu Integral Formula.

Decomposing $k$th exterior powers $\Lambda^kV(\omega_1)$

Functorial proof of Cayley-Hamilton using exterior powers

Leibniz rule for exterior derivative of wedge product

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

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