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

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Examples:

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

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

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

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

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