List questions from exterior-algebra

Published on 11 Apr 2018 - 5:03

29

Views

Specific example of $\mathrm{d}(F^* \alpha) = F^* (\mathrm{d} \alpha)$

Published on 11 Apr 2018 - 7:05

461

Views

Is this a valid way to think of decomposable $k$-forms?

Published on 15 Apr 2018 - 19:47

777

Views

wedge product/cross product

Published on 21 Mar 2026 - 18:03

758

Views

determinant as wedge product of 1-forms

Published on 16 Apr 2018 - 19:59

1.2k

Views

The Plucker relations are sufficient

Published on 17 Mar 2026 - 16:41

442

Views

Hodge Star operator is independent of the choice of basis on a finite dimensional vector space.

Published on 19 Apr 2018 - 16:50

103

Views

How to show sum of two elements is decomposable.

Published on 20 Apr 2018 - 15:00

119

Views

Proving that $M(\omega^k)\subset V^$ has dimension k with $M(\omega^k)=\{\eta^1\in\bigwedge^1(V^):\eta^1\wedge\omega^k=0\}.$

Published on 21 Apr 2018 - 9:32

979

Views

Exterior derivative for 1-forms -- derivation of the formula

Published on 25 Apr 2018 - 15:29

264

Views

Find the fundamental group of (Z × Z) ∗ Z and (Z ∗ Z) × Z

Published on 25 Apr 2018 - 21:42

113

Views

Defining the exterior algebra

Published on 26 Apr 2018 - 9:25

704

Views

Wedge product of three vectors

Published on 01 May 2018 - 11:28

156

Views

Calculating power of wedge products

Published on 02 May 2018 - 12:47

237

Views

Exterior power of the direct sum of projective modules

Published on 22 Mar 2026 - 18:10

List Question

With p-forms, is $2\alpha \wedge \alpha = 0$?

Specific example of $\mathrm{d}(F^* \alpha) = F^* (\mathrm{d} \alpha)$

Is this a valid way to think of decomposable $k$-forms?

wedge product/cross product

determinant as wedge product of 1-forms

The Plucker relations are sufficient

Hodge Star operator is independent of the choice of basis on a finite dimensional vector space.

How to show sum of two elements is decomposable.

Proving that $M(\omega^k)\subset V^$ has dimension k with $M(\omega^k)=\{\eta^1\in\bigwedge^1(V^):\eta^1\wedge\omega^k=0\}.$

Exterior derivative for 1-forms -- derivation of the formula

Find the fundamental group of (Z × Z) ∗ Z and (Z ∗ Z) × Z

Defining the exterior algebra

Wedge product of three vectors

Calculating power of wedge products

Exterior power of the direct sum of projective modules

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