Killing form

asked 11 years ago

twch gravatar image

Hi,

is there a simple possibility to calculate the Killing form in some standard matrix Lie-Algebras like so(n,R)?

Thanks in advance for your answers!

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With an explicit example in mind we have a fundamental representation / setting where n×n or (2n)×(2n) matrices appear explicitly, and the Killing form can be written - up to a multiplicative constant depending on n - in the form B(X,Y)=Trace(XY) .

dan_fulea gravatar imagedan_fulea ( 8 years ago )