Notes for AKT-091008-2/0:15:17: Difference between revisions
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Weight systems without a representation: |
Weight systems without a representation: |
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Tensor algebra (of lie algebra <math>\mathcal{G}</math>): <math>T(\mathcal{G})=\{</math> words with letters in <math>\mathcal{G} \}/</math>linearity in the letters |
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Definition of the universal enveloping algebra of a given lie algebra |
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Universal enveloping algebra (of <math>\mathcal{G}</math>): <math>U(\mathcal{G})=T(\mathcal{G})/<[x,y]=xy-yx> |
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</math> |
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Latest revision as of 19:02, 20 October 2009
Weight systems without a representation:
Tensor algebra (of lie algebra ): words with letters in linearity in the letters
Universal enveloping algebra (of ):
![{\displaystyle U({\mathcal {G}})=T({\mathcal {G}})/<[x,y]=xy-yx>}](https://wikimedia.org/api/rest_v1/media/math/render/svg/47e265b2de8bd515a8bf6b815fc350232c1562d5)
