Notes for AKT-091001-2/0:13:25: Difference between revisions
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'''Theorem''': |
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| ⚫ | 1) Given a metrized, finite-dimensional Lie algebra <math>\mathcal{G}</math> and a finite-dimensional representation <math>R</math> of <math>\mathcal{G}</math>, <math>\exists</math> (an interesting) linear functional <math>W_{\mathcal{G},R}: \mathcal{A} \rightarrow \mathbb{Q}</math> (the ground field on which <math>\mathcal{G}</math> is defined). |
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Latest revision as of 07:21, 27 October 2011
Theorem:
1) Given a metrized, finite-dimensional Lie algebra [math]\displaystyle{ \mathcal{G} }[/math] and a finite-dimensional representation [math]\displaystyle{ R }[/math] of [math]\displaystyle{ \mathcal{G} }[/math], [math]\displaystyle{ \exists }[/math] (an interesting) linear functional [math]\displaystyle{ W_{\mathcal{G},R}: \mathcal{A} \rightarrow \mathbb{Q} }[/math] (the ground field on which [math]\displaystyle{ \mathcal{G} }[/math] is defined).
