List questions from homogeneous-spaces

Published on 22 Mar 2026 - 3:12

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 02 Nov 2019 - 23:10

146

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Homogeneous Structures for Isotropic, Coisotropic, and Symplectic Subspaces?

Published on 23 Feb 2026 - 4:53

276

Views

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

Published on 23 Dec 2019 - 21:22

65

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Proof of the solution spaces of the homogenous systems being coincident

Published on 02 Jan 2020 - 15:09

187

Views

Compact Lie group action on real vector space preserves inner product

Published on 18 Jan 2020 - 21:43

193

Views

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

Published on 27 Jan 2020 - 15:25

90

Views

A doubt from book Spinors and Calibrations

Published on 01 Feb 2020 - 13:19

1.2k

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Transformation of homogeneous coordinates to Euclidean coordinates?

Published on 03 Mar 2020 - 16:28

169

Views

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

Published on 08 Mar 2020 - 11:12

457

Views

Quotient metric on compact homogeneous spaces

Published on 10 Mar 2020 - 16:49

126

Views

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

Published on 28 Mar 2020 - 2:58

111

Views

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

Published on 01 Apr 2020 - 18:24

51

Views

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

Published on 05 Apr 2020 - 1:11

131

Views

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

Published on 05 Apr 2020 - 21:44

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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