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Integer Cech cohomology of $SU(3)$

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#lie-groups #homology-cohomology #fibration #classical-groups
43
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$W$ is $G$-invariant $\Rightarrow W$ is $\mathfrak g$-invariant

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#differential-geometry #lie-groups
113
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Which manifold is formed by the set of resolutions of the identity operator into orthogonal projectors?

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#functional-analysis #manifolds #hilbert-spaces #lie-groups #smooth-manifolds
3.8k
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Why do $SU(2)$ and $SL(2,\mathbb{C})$ have the same Lie algebra?

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#group-theory #lie-groups #lie-algebras #dynkin-diagrams
157
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Nontrivial homomorphism from a connected topological group to a discrete group?

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#group-theory #lie-groups #topological-groups #group-homomorphism
131
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Equivalent definition of proper action with sequences

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#differential-geometry #lie-groups #group-actions
78
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Which groups $H$ act transitively on a noncompact symmetric space $G/K$?

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#lie-groups #lie-algebras #homogeneous-spaces #symmetric-spaces
55
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A particular connection on the group

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#lie-groups #riemannian-geometry #lie-algebras #connections
212
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Infinitesimal generator for conjugation action

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#group-theory #differential-geometry #lie-groups
59
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If $H$ acts transitively on $G/K$, does it contain a copy of $AN$?

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#lie-groups #lie-algebras #homogeneous-spaces #symmetric-spaces
597
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A special parallelization of $S^3$

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#manifolds #differential-topology #lie-groups #smooth-manifolds
47
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A question about the existence of Lie vector field

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#differential-geometry #lie-groups #riemannian-geometry #lie-algebras #lie-derivative
375
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Definition of a Lie group representation of a Hilbert Space

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#functional-analysis #hilbert-spaces #lie-groups
416
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Computing Casimir basis functions for Lie algebra $so(4)$ (via Killing form)

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#representation-theory #lie-groups #lie-algebras
37
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Smooth vectors and derivatives

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#functional-analysis #differential-geometry #lie-groups

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