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unimodular group (Definition)

A locally compact Hausdorff topological group is said to be unimodular if its left Haar measure is equal to its right Haar measure.

A group is unimodular when its modular function is equal to 1.

For example, an Abelian group or a compact group or discrete group is unimodular.



"unimodular group" is owned by Mathprof.
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compact groups are unimodular (Theorem) by asteroid
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Cross-references: discrete, compact, abelian group, modular function, group, right Haar measure, left Haar measure, topological group, Hausdorff, locally compact
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This is version 5 of unimodular group, born on 2007-03-24, modified 2008-02-05.
Object id is 9110, canonical name is UnimodularGroup2.
Accessed 1510 times total.

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AMS MSC: 22D99 (Topological groups, Lie groups :: Locally compact groups and their algebras :: Miscellaneous)
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