Weight sl(3)-modules generated by semiprimitive elements (Q810119)
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scientific article; zbMATH DE number 4212272
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weight sl(3)-modules generated by semiprimitive elements |
scientific article; zbMATH DE number 4212272 |
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Weight sl(3)-modules generated by semiprimitive elements (English)
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1991
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The author considers weight representations of the Lie algebra sl(3,\({\mathbb{C}})\) which have no highest weights and are generated by semiprimitive vectors. Bases of semiprimitive vectors of carrier spaces of such representations are completely described. Necessary and sufficient conditions for the irreducibility of the representations are derived. The author investigates composition series of the reducible representations.
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weight representations
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semiprimitive vectors
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composition series
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