List questions from homogeneous-spaces

Published on 29 Jul 2021 - 7:09

558

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Intuition for homogeneous spaces?

Published on 29 Jul 2021 - 11:33

202

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Line bundles on complete flag varieties independent of isogeny class

Published on 26 Mar 2026 - 3:12

33

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First variation of length on Homogeneous space

Published on 06 Aug 2021 - 13:00

346

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Find a basis of the vector space of all harmonic homogeneous $n$-variate complex polynomials of degree $d$

Published on 07 Aug 2021 - 16:09

76

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The isometry group of SL(2,C)

Published on 22 Aug 2021 - 19:34

57

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A (wrong?) description of homogeneous spaces

Published on 03 Sep 2021 - 14:14

495

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Algebraically independent Plücker relations

Published on 08 Sep 2021 - 17:42

366

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Grassmannian $\hbox{Gr}(2,\mathbb{C}^5)$ is homeomorphic to $\hbox{Gr}(3,\mathbb{C}^5)$

Published on 12 Sep 2021 - 12:26

92

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From the representations of $SO(n)$ to its projective group

Published on 12 Sep 2021 - 13:43

113

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Transitivity of being parabolic subgroup

Published on 29 Sep 2021 - 21:51

397

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What is difference between projection plane and projective plane $P^2?$

Published on 10 Oct 2021 - 15:03

96

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Is $ SO_3(\mathbb{R}) $ the unique compact connected Lie group acting transitively and faithfully on the sphere $ S^2 $?

Published on 16 Nov 2021 - 20:21

94

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Is it possible to realize $ \mathbb{RP}^2 $ as a linear group orbit?

Published on 17 Nov 2021 - 21:55

67

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Example of a homogeneous space that is not linear group orbit

Published on 18 Nov 2021 - 3:24

List Question

A metric on the Grassmannian manifold induced by the Riemannian metric

Intuition for homogeneous spaces?

Line bundles on complete flag varieties independent of isogeny class

First variation of length on Homogeneous space

Find a basis of the vector space of all harmonic homogeneous $n$-variate complex polynomials of degree $d$

The isometry group of SL(2,C)

A (wrong?) description of homogeneous spaces

Algebraically independent Plücker relations

Grassmannian $\hbox{Gr}(2,\mathbb{C}^5)$ is homeomorphic to $\hbox{Gr}(3,\mathbb{C}^5)$

From the representations of $SO(n)$ to its projective group

Transitivity of being parabolic subgroup

What is difference between projection plane and projective plane $P^2?$

Is $ SO_3(\mathbb{R}) $ the unique compact connected Lie group acting transitively and faithfully on the sphere $ S^2 $?

Is it possible to realize $ \mathbb{RP}^2 $ as a linear group orbit?

Example of a homogeneous space that is not linear group orbit

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