One construction of irreducible representations of semisimple Lie algebras (Q1092991)
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scientific article; zbMATH DE number 4021391
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | One construction of irreducible representations of semisimple Lie algebras |
scientific article; zbMATH DE number 4021391 |
Statements
One construction of irreducible representations of semisimple Lie algebras (English)
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1987
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Let \(L\) be a finite-dimensional semisimple Lie algebra over an algebraically closed field of characteristic zero. In this paper an account is given of the construction of an \(L\)-module generalizing Verma modules. In particular new simple \(sl(n)\)-modules are constructed.
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Cartan subalgebra
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root system
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semisimple Lie algebra
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characteristic zero
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modules
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