locally compact group
Word Rarity
Rare
Frequency: Zipf frequency 3.78 in modern English
35
Scrabble Score
19
Letters
6
Syllables
11
Unique Chars
Meaning
noun
A topological group whose underlying topology is both locally compact and Hausdorff.
Example Sentences
- "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."
- "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."