Conan777 at 00:27, 4 October 2009

2009-10-04T00:27:56Z

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Examples:

1.<math>\mathcal{G}=\mathbb{Q}^n</math> with <math>[ \cdot , \cdot ] = \overline{0}</math>

2. <math>\mathcal{G} = gl_n</math> with <math>[A, B]=AB-BA</math>

3. <math>\mathcal{G} =</math> set of all anti-symmetric matrices in <math>gl_n</math> with the bracket as defined in <math>gl_n</math>

4. <math>FL_2(x,y)=</math> set of all trees with leaves labeled with symbols <math>x</math> and <math>y</math> mod AS and STU with <math>[\cdot, \cdot]</math> being the operation that connects the roots of the trees

5. Given two Lie-algrbras, the direct sum of them is a Lie-algrbra.

Notes for AKT-091001-2/0:20:46 - Revision history

Conan777 at 00:27, 4 October 2009