Question

Image and preimage of a decomposable element under hodge star operator is decomposable.

score 132 · Answer 1 · 2018-07-06 20:12:52

132

Views

Image and preimage of a decomposable element under hodge star operator is decomposable.

Published on 06 Jul 2018 - 20:12

score 139 · Answer 2 · 2018-07-07 00:34:11

139

Views

Determining the isomorphism classes of these symmetry groups (exterior algebra)

Published on 07 Jul 2018 - 0:34

score 266 · Answer 3 · 2018-07-09 14:03:20

266

Views

Classifying the orbits of the natural $\text{GL}(V)$-action on the exterior power $\bigwedge^k V$

Published on 09 Jul 2018 - 14:03

score 542 · Answer 4 · 2018-07-10 02:39:32

542

Views

MTW's Gravitation. Factor of contraction of p-vector with p-form

Published on 10 Jul 2018 - 2:39

score 137 · Answer 5 · 2018-07-15 03:09:54

137

Views

Write $\omega$ in terms of the standard basis $dx^i ∧dx^j$ at each point.

Published on 15 Jul 2018 - 3:09

score 46 · Answer 6 · 2026-03-25 01:21:43

46

Views

(Exterior Algebra) Relation between positive oriented space and $r$-forms space.

Published on 25 Mar 2026 - 1:21

score 213 · Answer 7 · 2026-03-25 03:04:21

A form $\omega$, of degree $2$ in $U$ such that $\omega \wedge \alpha = \omega \wedge \beta = 0$, prove that $\omega = f\cdot \alpha \wedge \beta$

score 508 · Answer 8 · 2026-03-24 23:57:46

508

Views

Wedge Product on $C\ell^+(0,3,0)$ Relationship to Quaternion Cross Product

Published on 24 Mar 2026 - 23:57

score 76 · Answer 9 · 2018-07-23 10:07:28

76

Views

Does this geometric rigidity condition forces the map to be the identity?

Published on 23 Jul 2018 - 10:07

score 124 · Answer 10 · 2018-07-30 19:56:22

124

Views

Expressing $*(z_1\wedge \bar z_2)$ without Hodge star operator

Published on 30 Jul 2018 - 19:56

score 68 · Answer 11 · 2018-08-05 13:33:24

68

Views

Can we stay invertible while approximating linear maps in Sobolev spaces?

Published on 05 Aug 2018 - 13:33

score 61 · Answer 12 · 2018-08-07 01:06:03

61

Views

Why is $\epsilon^{p,q}(X):=\Gamma(X,\bigwedge^p\Omega^1_X\otimes\overline{\bigwedge^p\Omega^1_X})$?

Published on 07 Aug 2018 - 1:06

score 135 · Answer 13 · 2018-08-09 03:05:04

135

Views

Can the "symmetric algebra" over $\mathbb R^n$ be defined from an infinite-dimensional exterior algebra?

Published on 09 Aug 2018 - 3:05

score 972 · Answer 14 · 2026-03-23 04:31:29

972

Views

A Hodge dual computation on a $4$-dimensional Riemannian manifold

Published on 23 Mar 2026 - 4:31

score 87 · Answer 15 · 2026-03-21 23:56:06

87

Views

Star operator, exterior product

Published on 21 Mar 2026 - 23:56

List Question

Image and preimage of a decomposable element under hodge star operator is decomposable.

Determining the isomorphism classes of these symmetry groups (exterior algebra)

Classifying the orbits of the natural $\text{GL}(V)$-action on the exterior power $\bigwedge^k V$

MTW's Gravitation. Factor of contraction of p-vector with p-form

Write $\omega$ in terms of the standard basis $dx^i ∧dx^j$ at each point.

(Exterior Algebra) Relation between positive oriented space and $r$-forms space.

A form $\omega$, of degree $2$ in $U$ such that $\omega \wedge \alpha = \omega \wedge \beta = 0$, prove that $\omega = f\cdot \alpha \wedge \beta$

Wedge Product on $C\ell^+(0,3,0)$ Relationship to Quaternion Cross Product

Does this geometric rigidity condition forces the map to be the identity?

Expressing $*(z_1\wedge \bar z_2)$ without Hodge star operator

Can we stay invertible while approximating linear maps in Sobolev spaces?

Why is $\epsilon^{p,q}(X):=\Gamma(X,\bigwedge^p\Omega^1_X\otimes\overline{\bigwedge^p\Omega^1_X})$?

Can the "symmetric algebra" over $\mathbb R^n$ be defined from an infinite-dimensional exterior algebra?

A Hodge dual computation on a $4$-dimensional Riemannian manifold

Star operator, exterior product

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