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Topic: "Mini" Lie algebras
Replies: 3   Last Post: Dec 24, 2013 9:15 AM

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Hauke Reddmann

Posts: 532
Registered: 12/13/04
Re: "Mini" Lie algebras
Posted: Dec 24, 2013 9:15 AM
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federation2005@netzero.com wrote:
> On Monday, December 23, 2013 12:02:11 PM UTC-6, fc3...@uni-hamburg.de wrote:
>> The simplest rule would be [M1,M2]=M1. But there already the
>> troubles begin - the metric tensor is singular!


> Only semi-simple Lie algebras have non-singular metrics, if you mean adjoint-invariant metrics. This group is not semi-simple.

Ah, *that's* what the fuzz with semi-simple is about :-)
So singular metrics are no desaster. (Except for the
graphic calculus...)
--
Hauke Reddmann <:-EX8 fc3a501@uni-hamburg.de
Hund frißt Hund jeden Tag - Pal jetzt NEU mit Menschgeschmack
Hund frißt Hund heißt der Sport - hoff', du stehst auf Völkermord
(Der Nachwuchs)



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