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15
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If $U$ is a neighborhood of $e$, there exists $V$ neighborhood of $e$ such that $V^{-1}V \subseteq U$

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#general-topology #topological-groups
781
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$G$ is a hausdorff topological group $\iff \{e \}$ is closed.

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#general-topology #topological-groups
76
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About the closure of an orbit

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#lie-groups #topological-groups #group-actions
103
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Topological (abelian) groups with a neighbourhood basis of $0$ consisting of subgroups.

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#general-topology #topological-groups
1.6k
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The identity component of G is a normal subgroup.

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#lie-groups #topological-groups
203
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Affine group as topological group

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#abstract-algebra #group-theory #topological-groups
316
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Short exact sequences of topological groups

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#abstract-algebra #general-topology #topological-groups #exact-sequence
1.3k
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Every discrete subgroup is unimodular

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#measure-theory #topological-groups #haar-measure
131
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Compact modulo subgroup definition

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#compactness #topological-groups #quotient-spaces
108
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Is $SU(n)$ a CW group?

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#algebraic-topology #lie-groups #topological-groups #cw-complexes #grassmannian
539
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Amenability of the integers (with the Følner condition)

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#abelian-groups #operator-algebras #c-star-algebras #topological-groups #amenability
1k
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Difference between a $G$-invariant measure on $G/H$ and a Haar measure on $G/H$

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#proof-verification #topological-groups #quotient-spaces #lattices-in-lie-groups #haar-measure
163
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Understanding Wikipedia's definition for lattice

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#measure-theory #topological-groups #quotient-spaces #lattices-in-lie-groups #haar-measure
40
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Existence of a converging sequence in the subspace

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#general-topology #convergence-divergence #topological-groups #linear-groups
207
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Definition of the Weil Group: where is this map $G_1/G_1^c \rightarrow \overline{G}/\overline{G}^c$ coming from?

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#representation-theory #topological-groups #l-functions

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