Word.ws English Dictionary

locally compact group

locally compact group noun: a topological group whose underlying topology is both locally compact and Hausdorff.

Noun

locally compact group (plural locally compact groups)

  1. A topological group whose underlying topology is both locally compact and Hausdorff.
    • 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...1988, J. M. G. Fell, R. S. Doran, Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles, Volume 1, Academic Press, page 63
    • 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;A2012, H. Heyer, Probability Measures on Locally Compact Groups, Springer, page 12

Examples of locally compact group in a sentence

  • 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.1988, J. M. G. Fell, R. S. Doran, Representations of *-Algebras, Locally Compact Groups, and Banach *-Algebraic Bundles, Volume 1, Academic...
  • 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.2013, Eberhard Kaniuth, Keith F. Taylor, Induced Representations of Locally Compact Groups, Cambridge University Press, page 269:

Forms of locally compact group

plurallocally compact groups

Questions about locally compact group

What does locally compact group mean?
Locally compact group means a topological group whose underlying topology is both locally compact and Hausdorff.
How do you use locally compact group in a sentence?
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.
What part of speech is locally compact group?
Locally compact group is a noun.
What is the plural of locally compact group?
The plural of locally compact group is locally compact groups.

Words near locally compact group in the dictionary

  1. localizers
  2. localizes
  3. localizing
  4. locally
  5. locally compact
  6. locally compact group
  7. locally compact groups
  8. locally finite
  9. locally indicable
  10. locally ringed space
  11. locally ringed spaces

Source and license

Adapted from Wiktionary: locally compact group (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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