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locally compact group

noun

Definitions

  1. A topological group whose underlying topology is both locally compact and Hausdorff.

    • A locally compact group G is called Lie projective if it is the projective limit #92;textstyle#92;underset#123;#92;leftarrow#125;#123;#92;lim#125;#95;#123;#92;alpha#92;in#92;mathbb#123;A
    • Let G be a locally compact group and H a closed subgroup of G, and suppose that #92;pi and #92;tau are irreducible representations of G and H, respectively.

The neighborhood

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sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA