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15
34
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Can all connected locally compact groups be written as a product of abelian and compact subgroups?

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#reference-request #topological-groups #locally-compact-groups
49
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Prove $G = \{ a + b \hat{i} +c \hat{j} +d \hat{k} : a,b,c,d \in \mathbb{R} \}$ is a locally compact topological group

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#topological-groups #quaternions #locally-compact-groups #haar-measure
237
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Lie quotient of Group by finite group

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#lie-groups #locally-compact-groups
99
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Closure of a Lie group

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#lie-groups #locally-compact-groups
241
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Weak*- limits of continuous functions in $L^\infty(G)$

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#functional-analysis #weak-convergence #banach-algebras #locally-compact-groups
65
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Identifying $C_{\lambda}^*(\Gamma)$ with $C(\hat{\Gamma})$ using Pontryagin Duality

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#group-theory #operator-algebras #c-star-algebras #duality-theorems #locally-compact-groups
28
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Query about the justification of a statement in Ihara's paper "On discrete subgroups of the two by two projective linear group over p-adic fields"

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#locally-compact-groups
69
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G-invariant measure class

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#measure-theory #topological-groups #locally-compact-groups
312
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totally bounded and locally compact but not compact

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#general-topology #metric-spaces #compactness #locally-compact-groups
185
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Alternate definitions of Fourier Algebra

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#harmonic-analysis #locally-compact-groups
46
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Abstract representation of a locally compact topological group which is not topological

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#representation-theory #topological-groups #locally-compact-groups
173
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Haar measures are saturated

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#measure-theory #harmonic-analysis #topological-groups #locally-compact-groups #haar-measure
104
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Subspace of Euclidean space

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#general-topology #topological-vector-spaces #separable-spaces #locally-compact-groups
267
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If $G$ is a locally compact group and $L^1(G)$ is unital, then $G$ is discrete.

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#general-topology #proof-explanation #harmonic-analysis #banach-algebras #locally-compact-groups
248
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Are Haar measures semifinite?

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#measure-theory #harmonic-analysis #topological-groups #locally-compact-groups #haar-measure

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