List questions from exterior-algebra

Published on 26 Apr 2020 - 15:43

216

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Is it true that $\Gamma(\Lambda(T^M)) \cong \Lambda(\Gamma(T^M))$?

Published on 26 Apr 2020 - 22:19

153

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How is the Kähler form decomposed in terms of the metric?

Published on 25 Mar 2026 - 7:45

325

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Alternating tensors: Difference between $Alt$ and $\frac{1}{k!} Alt$?

Published on 26 Mar 2026 - 12:46

1.2k

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Anticommutativity of wedge product: $sgn( \tau )=(-1)^{kl}$

Published on 01 May 2020 - 22:23

446

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Geometric algebra: is a $k$-vector simple iff its square is a scalar?

Published on 25 Mar 2026 - 6:33

96

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Left exterior multiplication is exact sequence

Published on 03 May 2020 - 15:30

47

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Show $x_{σ(1)}∧x_{σ(2)}∧\cdots∧x_{σ(k)}=\operatorname{sgn}(σ)x_1∧x_2∧\cdots∧x_k$

Published on 03 May 2020 - 23:49

221

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Find $dr\wedge d\alpha \wedge d\beta$ in terms of $dx \wedge dy \wedge dz$.

Published on 10 May 2020 - 20:25

249

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Geometric interpretation of alternating bilinear forms as an oriented area

Published on 11 May 2020 - 17:43

45

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Readings in Geometry | Writing partials

Published on 15 May 2020 - 17:48

53

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Bivector to pseudovector mapping

Published on 22 May 2020 - 9:20

943

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Dimension of an antisymmetric tensor product space

Published on 23 Feb 2026 - 4:22

199

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Hodge star operator and exterior calculation

Published on 24 May 2020 - 12:15

95

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matrix related to exterior multiplication

Published on 23 Feb 2026 - 6:37

List Question

Differential Geometry Wedge Products

Is it true that $\Gamma(\Lambda(T^M)) \cong \Lambda(\Gamma(T^M))$?

How is the Kähler form decomposed in terms of the metric?

Alternating tensors: Difference between $Alt$ and $\frac{1}{k!} Alt$?

Anticommutativity of wedge product: $sgn( \tau )=(-1)^{kl}$

Geometric algebra: is a $k$-vector simple iff its square is a scalar?

Left exterior multiplication is exact sequence

Show $x_{σ(1)}∧x_{σ(2)}∧\cdots∧x_{σ(k)}=\operatorname{sgn}(σ)x_1∧x_2∧\cdots∧x_k$

Find $dr\wedge d\alpha \wedge d\beta$ in terms of $dx \wedge dy \wedge dz$.

Geometric interpretation of alternating bilinear forms as an oriented area

Readings in Geometry | Writing partials

Bivector to pseudovector mapping

Dimension of an antisymmetric tensor product space

Hodge star operator and exterior calculation

matrix related to exterior multiplication

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