Haar measure

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Haar measure

[′här ‚mezh·ər]
(mathematics)
A measure on the Borel subsets of a locally compact topological group whose value on a Borel subset U is unchanged if every member of U is multiplied by a fixed element of the group.
References in periodicals archive ?
We recall that [GL.sub.n] (Z) represents the unimodular group which consists of all the invertible n x n-matrices with entries in Z.
Commonly class of type I and unimodular groups are compact groups.
G and G" both are unimodular groups. f : G [arrow right] + G" is an open homomorphism.