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15
457
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Show that Stabilizer of Lie group action is closed lie subgroup

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#lie-groups
558
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Quotient of a Lie group by normal lie subgroup is a lie group

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#lie-groups
566
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Is the Lie algebra of the Euclidean group $SE(3)$ semisimple?

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#lie-groups #lie-algebras #semisimple-lie-algebras
46
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Is this a lie group?

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#general-topology #geometry #lie-groups
140
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Isotropy group acts via isometries, isotropic representation

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#lie-groups #riemannian-geometry #lie-algebras #topological-groups
111
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What is this quotient space?

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#abstract-algebra #general-topology #geometry #lie-groups #topological-groups
92
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finite dimensional group is locally a manifold or product with a cantor set

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#lie-groups #topological-groups
174
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Is every surface locally symmetric?

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#differential-geometry #differential-topology #lie-groups #riemannian-geometry #lattices-in-lie-groups
195
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Subgroup of a Lie group

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#manifolds #lie-groups
23
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Can we always choose a complementary Lie algebra such that the associated group is closed?

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#lie-groups #lie-algebras
472
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Problem with Lee's proof on the derivative of adjoint representation

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#differential-geometry #representation-theory #differential-topology #lie-groups #lie-algebras
416
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Showing path-connected subgroup is entire Lie group

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#lie-groups #lie-algebras #smooth-manifolds
41
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Lie Bracket in a Matrix submanifold

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#lie-groups #vector-fields
1.1k
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What changes in the representation theory of real Lie algebras?

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#representation-theory #lie-groups #lie-algebras
614
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Prove that a Lie algebra $\mathfrak{g}$ of finite dimension is semi-simple if and only if $\operatorname{rad}(\mathfrak{g})={0}.$

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#abstract-algebra #representation-theory #lie-groups #lie-algebras

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