Re: generators of SL(2,R)

From: Robin Chapman (rjc_at_ivorynospamtower.freeserve.co.uk)
Date: 06/21/04 

Date: Mon, 21 Jun 2004 18:39:13 +0100

Roger L. Bagula TOP-POSTED:

> Dear Dr. José Carlos de Sousa Oliveira Santos,
> You really don't know the difference between SL(2,R)
> and SL(2,C)?

Yes he does. It's you who is posting bollocks, not he.

> I was using the Byrant Lorentz type
> quaternion approach to that kind of group he used to get
> cousin minimal surfaces.

No, you were talking bollocks.

> The point is (as the author of this line its trying to get across) that
> the SL(2,R) is related to the Poincare disk half plane / NonEuclidean
> geometry by Moebius transforms.
> What he wants is a set of generators that gives a 3d
> surface that has the Klein-Poincare geometry.

What he wanted was a set of generators

> And that geometry is connected very closely to certain areas of complex
> dynamics... I'm pretty sure he meant SL(2,C).

That's stupid of you, since he wrote SL(2,R) in his original title
and never mentioned the complexes there

> Your generators give that type of group,
> not a real only group as the notation suggests.

His generators generate SL(2,R), just as he claimed.

> I didn't say there was anything wrong with your generators,
> just that you had the right generators for the wrong group.

You're talking *** again.

> If you use your generators to determine a set in SL(2,R) and go
> "backward" to a determinant,
> you are forced to have your x be complex and not real.

More ***.

> At least in a lot of the cases.
> So you are lost in terms of Real Numbers...
> You do remember how they are defined?

Do you need him to remind you? 

-- 
Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html
"Lacan, Jacques, 79, 91-92; mistakes his penis for a square root, 88-9"
Francis Wheen, _How Mumbo-Jumbo Conquered the World_
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