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53
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Representation with Poincare homology sphere as an orbit

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#representation-theory #lie-groups #homogeneous-spaces
170
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Is Seifert-Weber space homogeneous for a Lie group?

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#manifolds #lie-groups #geometric-topology #homogeneous-spaces
550
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Is it possible to realize the Klein bottle as a linear group orbit?

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#representation-theory #lie-groups #geometric-topology #algebraic-groups #homogeneous-spaces
226
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Bianchi classification of solvable Lie groups and cocompact subgroups

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#lie-groups #geometric-topology #homogeneous-spaces
93
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Which Euclidean 3 manifolds are coset spaces $ G/H $?

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#euclidean-geometry #lie-groups #3d #geometric-topology #homogeneous-spaces
249
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compact group transitive implies fundamental group has finite commutator subgroup

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#algebraic-topology #lie-groups #smooth-manifolds #algebraic-groups #homogeneous-spaces
154
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Which 3 manifolds admit transitive action by compact group?

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#riemannian-geometry #lie-groups #smooth-manifolds #geometric-topology #homogeneous-spaces
35
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$\pi\circ \exp|_\mathfrak{m}$ surjective on noncompact homogeneous space

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#differential-geometry #lie-groups #homogeneous-spaces #symmetric-spaces
427
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$ S^2 \times R $ geometry

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#lie-groups #smooth-manifolds #3d #geometric-topology #homogeneous-spaces
71
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Circle as coset space for different groups?

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#lie-groups #circles #physics #homogeneous-spaces
54
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G acts effectively implies $ dim(G) \leq \frac{n(n+1)}{2} $

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#riemannian-geometry #lie-groups #homogeneous-spaces
70
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Transitive action on non orientable $ M $ lifts to orientable double cover

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#lie-groups #geometric-topology #orientation #homogeneous-spaces
106
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Nontrivial homogeneous Vector bundle

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#lie-groups #differential-topology #vector-bundles #homogeneous-spaces #linear-groups
73
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Maximal Compact Connected group of Isometries

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#differential-geometry #riemannian-geometry #lie-groups #smooth-manifolds #homogeneous-spaces
102
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What is the relationship between irreducible representations and the harmonics of a homogeneous space?

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#group-theory #fourier-analysis #representation-theory #harmonic-analysis #homogeneous-spaces

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