ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 04 Mar 2017 12:16:19 +0100Killing formhttps://ask.sagemath.org/question/10442/killing-form/Hi,
is there a simple possibility to calculate the Killing form in some standard matrix Lie-Algebras like $\mathfrak{so}(n,\mathbb{R})$?
Thanks in advance for your answers!Fri, 16 Aug 2013 18:13:38 +0200https://ask.sagemath.org/question/10442/killing-form/Comment by dan_fulea for <p>Hi,</p>
<p>is there a simple possibility to calculate the Killing form in some standard matrix Lie-Algebras like $\mathfrak{so}(n,\mathbb{R})$?</p>
<p>Thanks in advance for your answers!</p>
https://ask.sagemath.org/question/10442/killing-form/?comment=36824#post-id-36824With an explicit example in mind we have a fundamental representation / setting where $n\times n$ or $(2n)\times(2n)$ matrices appear explicitly, and the Killing form can be written - up to a multiplicative constant depending on $n$ - in the form $B(X,Y) = \textrm{Trace}(XY)$ .Sat, 04 Mar 2017 12:16:19 +0100https://ask.sagemath.org/question/10442/killing-form/?comment=36824#post-id-36824