List questions from homogeneous-spaces

Published on 29 Apr 2026 - 12:48

1.1k

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Given a point and a line in homogeneous coordinates, what is the coordinate of the projection of the point on the line?

Published on 25 Mar 2026 - 9:43

149

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Homogeneous Structures for Isotropic, Coisotropic, and Symplectic Subspaces?

Published on 23 Apr 2026 - 5:22

277

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Homogeneous space of indeterminate orthogonal group and the fundamental group of $SO^+(3,3)$

Published on 25 Mar 2026 - 9:39

66

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Proof of the solution spaces of the homogenous systems being coincident

Published on 25 Mar 2026 - 9:43

190

Views

Compact Lie group action on real vector space preserves inner product

Published on 17 Apr 2026 - 8:56

194

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Why are lines in $\mathbb{R}^3$ all congruent to one another, but circles in $\mathbb{R}^3$ are not?

Published on 25 Mar 2026 - 9:40

92

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A doubt from book Spinors and Calibrations

Published on 10 May 2026 - 17:19

1.2k

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Transformation of homogeneous coordinates to Euclidean coordinates?

Published on 25 Mar 2026 - 9:37

170

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Prove the operator given by convolution with homogeneous function $u$ maps $L^{2}(\mathbb{R}^{n})$ to $L^{2}(\mathbb{R}^{n})$

Published on 25 Mar 2026 - 9:36

458

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Quotient metric on compact homogeneous spaces

Published on 25 Mar 2026 - 9:37

127

Views

Does there exist any direct proof that the Cantor set is countably dense homogeneous?

Published on 25 Mar 2026 - 9:36

112

Views

Embedd SU(n) into an enlarged twisted Spin(2n) in terms of Lie groups precisely

Published on 25 Mar 2026 - 9:38

53

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The magic properties of the quotient space from $U(2^{l-1})/{\rm Spin}(2 l)$

Published on 10 May 2026 - 19:42

132

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The maximal normal subgroup in U(n) and SU(n)

Published on 25 Mar 2026 - 9:36

List Question

Isometry group of $3$-sphere

Given a point and a line in homogeneous coordinates, what is the coordinate of the projection of the point on the line?

Homogeneous Structures for Isotropic, Coisotropic, and Symplectic Subspaces?

Homogeneous space of indeterminate orthogonal group and the fundamental group of $SO^+(3,3)$

Proof of the solution spaces of the homogenous systems being coincident

Compact Lie group action on real vector space preserves inner product

Why are lines in $\mathbb{R}^3$ all congruent to one another, but circles in $\mathbb{R}^3$ are not?

A doubt from book Spinors and Calibrations

Transformation of homogeneous coordinates to Euclidean coordinates?

Prove the operator given by convolution with homogeneous function $u$ maps $L^{2}(\mathbb{R}^{n})$ to $L^{2}(\mathbb{R}^{n})$

Quotient metric on compact homogeneous spaces

Does there exist any direct proof that the Cantor set is countably dense homogeneous?

Embedd SU(n) into an enlarged twisted Spin(2n) in terms of Lie groups precisely

The magic properties of the quotient space from $U(2^{l-1})/{\rm Spin}(2 l)$

The maximal normal subgroup in U(n) and SU(n)

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