"locally compact group" meaning in English

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        {
          "ref": "1988, J. M. G. Fell, R. S. Doran, Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles, Volume 1, Academic Press, page 63:",
          "text": "Indeed, if there is one property of locally compact groups more responsible than any other for the rich positive content of their representation theory, it is their possession of left-invariant and right-invariant (Haar) measures. The connection between the representation theory of a locally compact group and that of general Banach algebras proceeds directly from Lebesgue integration with respect to Haar measure on the group.",
          "type": "quote"
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        {
          "ref": "2012, H. Heyer, Probability Measures on Locally Compact Groups, Springer, page 12:",
          "text": "A locally compact group G is called Lie projective if it is the projective limit #x5C;textstyle#x5C;underset#x7B;#x5C;leftarrow#x7D;#x7B;#x5C;lim#x7D;#x5F;#x7B;#x5C;alpha#x5C;in#x5C;mathbb#x7B;A",
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          "ref": "2013, Eberhard Kaniuth, Keith F. Taylor, Induced Representations of Locally Compact Groups, Cambridge University Press, page 269:",
          "text": "Let G be a locally compact group and H a closed subgroup of G, and suppose that #x5C;pi and #x5C;tau are irreducible representations of G and H, respectively.",
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      "glosses": [
        "A topological group whose underlying topology is both locally compact and Hausdorff."
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      "hyponyms": [
        {
          "word": "Lie group"
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          "locally compact",
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          "Hausdorff",
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        "(topology) A topological group whose underlying topology is both locally compact and Hausdorff."
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          "code": "de",
          "lang": "German",
          "sense": "topological group whose topology is locally compact and Hausdorff",
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          "word": "lokalkompakte Gruppe"
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          "text": "Indeed, if there is one property of locally compact groups more responsible than any other for the rich positive content of their representation theory, it is their possession of left-invariant and right-invariant (Haar) measures. The connection between the representation theory of a locally compact group and that of general Banach algebras proceeds directly from Lebesgue integration with respect to Haar measure on the group.",
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          "ref": "2012, H. Heyer, Probability Measures on Locally Compact Groups, Springer, page 12:",
          "text": "A locally compact group G is called Lie projective if it is the projective limit #x5C;textstyle#x5C;underset#x7B;#x5C;leftarrow#x7D;#x7B;#x5C;lim#x7D;#x5F;#x7B;#x5C;alpha#x5C;in#x5C;mathbb#x7B;A",
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          "ref": "2013, Eberhard Kaniuth, Keith F. Taylor, Induced Representations of Locally Compact Groups, Cambridge University Press, page 269:",
          "text": "Let G be a locally compact group and H a closed subgroup of G, and suppose that #x5C;pi and #x5C;tau are irreducible representations of G and H, respectively.",
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        "A topological group whose underlying topology is both locally compact and Hausdorff."
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          "locally compact",
          "locally compact"
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          "Hausdorff",
          "Hausdorff"
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        "(topology) A topological group whose underlying topology is both locally compact and Hausdorff."
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  "word": "locally compact group"
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