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Haar measure on the groups SO(n) and SO(n,m)

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#measure-theory #lie-groups #harmonic-analysis #geometric-measure-theory
114
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Commutativity and Maximal Tori in Connected, Compact Lie Groups

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#lie-groups #lie-algebras
391
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example of a connected matrix lie group with a nondiscrete normal subgroup H?

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#group-theory #lie-groups
100
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Is group of rigid body motion compact?

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#group-theory #lie-groups #locally-compact-groups #rigid-transformation
150
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smooth lie group action

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#general-topology #manifolds #lie-groups
414
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Computing characteristic numbers of homogeneous spaces

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#algebraic-topology #lie-groups #characteristic-classes #homogeneous-spaces
132
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Is there a gap in Serre's proof of inverse function theorem?

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#analysis #power-series #lie-groups
524
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How to determine the dual space of se(2)?

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#abstract-algebra #lie-groups
159
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Analytic/Smooth/Continuous maps between a manifold and itself

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#reference-request #differential-geometry #manifolds #lie-groups #topological-groups
1.4k
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Lie algebra homomorphism and action on a manifold

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#differential-geometry #manifolds #lie-groups #lie-algebras
1k
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How to show that exp is a diffeomorphism between symmetric reals and positive definite matrices?

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#linear-algebra #lie-groups #exponential-function
779
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Subgroups of $SO(4)$ with free transitive action on $S^3$

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#group-theory #lie-groups
447
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Unitary representations of noncompact groups

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#representation-theory #lie-groups
404
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Riemannian Manifolds with $n(n+1)/2$ dimensional symmetry group

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#differential-geometry #manifolds #lie-groups #riemannian-geometry
687
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With the branching rules of subalgebra, how can I write down explicit matrix elements for a representation?

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

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