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On Haar measure of \(SL(N,\mathbb{R}{})\). (English) Zbl 0743.22008

The author proves by elementary means an explicit formula for the Haar measure on \(SL(n,\mathbb{R})\) in terms of the surface measure \(h\) of \(GL(n,\mathbb{R})\). Here \(GL(n,\mathbb{R})\) is considered as smooth \(n^ 2-1\)- dimensional surface of \(n^ 2\)-dimensional Euclidean space.
Reviewer: W.Hazod (Dortmund)

MSC:

22E30 Analysis on real and complex Lie groups
43A05 Measures on groups and semigroups, etc.
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