Topological groups, Lie groups Locally compact groups and Haar measure Concept
Modular function
Summary
The modular function of a locally compact group measures how far a left Haar measure is from being right-invariant. It is a continuous homomorphism from the group to the multiplicative group of positive reals. It appears in every formula that moves a Haar integral across a right translation or an inversion. It is identically exactly for unimodular groups.
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About this page
| Tag | 63TX60RTRQ |
|---|---|
| URI | m2://63TX60RTRQ |
| Kind | concept |
| Writing | W0 stub |
| MSC | 22D05, 28C10, 43A05 |
| Changed | 2 November 2026 |
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