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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Haar measure
Replies: 2   Last Post: May 4, 2011 8:25 AM

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A N Niel

Posts: 2,240
Registered: 12/7/04
Re: Haar measure
Posted: May 4, 2011 8:08 AM
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In article
<8148801b-f048-4d81-8cda-000baaab7c34@18g2000prd.googlegroups.com>,
dushya <sehrawat.dushyant@gmail.com> wrote:

> Hi,
> Is Haar measure over unitary group U(N) invariant under inversion? I
> have only very vague idea of what Haar measure over a group means; It
> is usually constructed so as to be invariant under right (and/or left)
> multiplication by elements of the group; but are there any conditions
> on a group (/ top group) under which its Haar measure is invariant
> under inversion? in particular what's the case for U(N)?

In compact groups (and abelian groups) Haar measure is invariant under
inversion.
Date Subject Author
5/4/11
Read Haar measure
dushya
5/4/11
Read Re: Haar measure
A N Niel
5/4/11
Read Re: Haar measure
Jyrki Lahtonen

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