Notes for AKT-091001-2/0:13:25: Difference between revisions

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'''Theorem''':
Theorem: 1) Given a metrized finite dimensional Lie-algrbra <math>\mathcal{G}</math> and a finite dimensional representation <math>R</math> of <math>\mathcal{G}</math>, <math>\exists</math> (an interesting) linear function <math>W_{\mathcal{G},R}: \mathcal{A} \rightarrow \mathbb{Q}</math> (the ground field which <math>\mathcal{G}</math> is defined on)

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).

Latest revision as of 07:21, 27 October 2011

Theorem:

1) Given a metrized, finite-dimensional Lie algebra and a finite-dimensional representation of , (an interesting) linear functional (the ground field on which is defined).