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The collection of (unitary representations on) Hilbert spaces is a set

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#group-theory #representation-theory #hilbert-spaces #locally-compact-groups
91
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Dimension of vector space for irreducible representations

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#abstract-algebra #group-theory #representation-theory #cardinals #locally-compact-groups
92
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Definition of Haar integral in Bushnell and Henniart

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#number-theory #locally-compact-groups #haar-measure #langlands-program
229
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Is the following set a compact set?

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#general-topology #functional-analysis #compactness #complete-spaces #locally-compact-groups
270
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Is a finitely generated metrizable group discrete?

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#abstract-algebra #group-theory #topological-groups #finitely-generated #locally-compact-groups
62
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Let $\text{T} = \mathbb{Q}(i)^\times/\mathbb{Q}^\times$ compute $\text{T}(\mathbb{A})/\text{T}(\mathbb{Q})$

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#number-theory #algebraic-groups #locally-compact-groups #adeles
116
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Can 3 dimensional Heisenberg group be represented irreducibly on L^2(S)?

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#representation-theory #locally-compact-groups #heisenberg-group
87
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When does a continuous function's "Fourier series" converge pointwise almost everywhere to the function?

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#number-theory #reference-request #representation-theory #fourier-series #locally-compact-groups
52
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About Locally Compact Groups and Analysis

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#real-analysis #measure-theory #continuity #locally-compact-groups
59
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Representations of $SO(3)$ in $\mathbb{C}[x,y,z]$

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#representation-theory #rotations #locally-compact-groups
353
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Understanding Gelfand–Raikov theorem

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#representation-theory #harmonic-analysis #locally-compact-groups
245
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Generated group by a compact set is finitely generated

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#general-topology #group-theory #topological-groups #locally-compact-groups
516
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Is a locally compact subgroup of a locally compact group closed?

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#general-topology #topological-groups #locally-compact-groups
166
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Is it true that the Haar covering numbers $(f:\varphi)$ converges to $\int_Gf\operatorname{d}\mu$ for $\varphi\to\delta$?

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#measure-theory #locally-compact-groups #haar-measure
42
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A linear topological space over real number field is locally compact ???

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#general-topology #vector-spaces #compactness #topological-vector-spaces #locally-compact-groups

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