Notes for AKT-091001-2/0:15:43: Difference between revisions

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2) Given <math>\mathcal{G}</math> (metrized finite dim Lie algrbra) <math>\exists \Pi_\mathcal{G}: \mathcal{A}(|) \rightarrow U(\mathcal{G})</math> where <math>U(\mathcal{G})</math> is the universal enveloping algebra of <math>\mathcal{G}</math>.
2) Given <math>\mathcal{G}</math> (metrized finite dim Lie algrbra) <math>\exists\ {\mathcal T}_\mathcal{G}: \mathcal{A}(|) \rightarrow U(\mathcal{G})</math> where <math>U(\mathcal{G})</math> is the universal enveloping algebra of <math>\mathcal{G}</math>.

Revision as of 11:18, 14 October 2009

2) Given [math]\displaystyle{ \mathcal{G} }[/math] (metrized finite dim Lie algrbra) [math]\displaystyle{ \exists\ {\mathcal T}_\mathcal{G}: \mathcal{A}(|) \rightarrow U(\mathcal{G}) }[/math] where [math]\displaystyle{ U(\mathcal{G}) }[/math] is the universal enveloping algebra of [math]\displaystyle{ \mathcal{G} }[/math].