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15
146
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Universal covering group is locally homemorphic to the group

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#differential-geometry #algebraic-topology #lie-groups #covering-spaces
192
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Simplicial Homology of Matrix Groups

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#reference-request #algebraic-topology #manifolds #lie-groups #homology-cohomology
228
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Geodesics and one parameter subgroups of Lie groups

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#lie-groups #riemannian-geometry #geodesic
731
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Why do we call adjoint Lie groups "adjoint"?

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#group-theory #terminology #lie-groups #semisimple-lie-algebras
69
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Meanings of root system: Show definitions/intuitions and $Λ_{root} ⊂ Λ_{char} ⊂ Λ_{weight}?$

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#representation-theory #lie-groups #lie-algebras #root-systems
59
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Vector bundles with structure groups $G_2$ and $\operatorname{Spin}(7)$

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#differential-geometry #lie-groups #vector-bundles #spin-geometry
53
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ordered topological groups

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#lie-groups #topological-groups #ordered-groups
71
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If $G/H_1\cong H_2$ and $G/H_2\cong H_1$, can we conclude that $G\cong H_1\times H_2$ if $H_1, H_2\neq \{\operatorname{id}_G\}$?

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#group-theory #lie-groups
316
Views

Does the automorphism group of a Lie group always have a Lie group structure?

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#lie-groups #lie-algebras
177
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Name for lemma for BCH formula

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#reference-request #lie-groups
110
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Irreducible faithful representation of a simple Lie group

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#representation-theory #lie-groups
146
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Involutive automorphism of simple Lie algebra

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#lie-groups #lie-algebras #semisimple-lie-algebras #involutions #symmetric-spaces
671
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Exponential map on Lie groups being a diffeomorphism

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#lie-groups #lie-algebras
34
Views

Norm estimates on $\log\big(\exp(X)\exp(Y)\big)$ using the Baker-Campbell-Hausdorff formula

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#lie-groups #lie-algebras
317
Views

Haar integral invariance against inversion

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#integration #differential-geometry #lie-groups

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