Question

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

score 135 · Answer 1 · 2026-04-15 19:54:06

135

Views

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

Published on 15 Apr 2026 - 19:54

score 142 · Answer 2 · 2026-04-14 10:25:32

142

Views

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

Published on 14 Apr 2026 - 10:25

score 269 · Answer 3 · 2026-04-17 06:09:32

269

Views

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

Published on 17 Apr 2026 - 6:09

score 545 · Answer 4 · 2026-04-14 16:48:25

545

Views

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

Published on 14 Apr 2026 - 16:48

score 140 · Answer 5 · 2026-04-17 10:47:47

140

Views

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

Published on 17 Apr 2026 - 10:47

score 49 · Answer 6 · 2026-05-10 16:58:47

49

Views

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

Published on 10 May 2026 - 16:58

score 216 · Answer 7 · 2026-05-10 17:02:42

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 514 · Answer 8 · 2026-05-10 12:39:06

514

Views

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

Published on 10 May 2026 - 12:39

score 79 · Answer 9 · 2026-04-15 14:30:11

79

Views

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

Published on 15 Apr 2026 - 14:30

score 127 · Answer 10 · 2026-04-11 20:31:01

127

Views

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

Published on 11 Apr 2026 - 20:31

score 71 · Answer 11 · 2026-04-11 18:14:18

71

Views

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

Published on 11 Apr 2026 - 18:14

score 64 · Answer 12 · 2026-04-15 13:22:18

64

Views

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

Published on 15 Apr 2026 - 13:22

score 138 · Answer 13 · 2026-04-12 22:33:15

138

Views

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

Published on 12 Apr 2026 - 22:33

score 976 · Answer 14 · 2026-05-06 07:54:16

976

Views

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

Published on 06 May 2026 - 7:54

score 95 · Answer 15 · 2026-05-10 13:24:00

95

Views

Star operator, exterior product

Published on 10 May 2026 - 13:24

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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