Generalized multiplicity-free representations of nongraded divergence-free Lie algebras (Q2844756)
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scientific article; zbMATH DE number 6199365
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized multiplicity-free representations of nongraded divergence-free Lie algebras |
scientific article; zbMATH DE number 6199365 |
Statements
19 August 2013
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divergence-free Lie algebra
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Cartan type
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irreducible module
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generalized weight module
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classification
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math.QA
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math.RT
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Generalized multiplicity-free representations of nongraded divergence-free Lie algebras (English)
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In this work, the author analyzes in considerable detail the generalized weight representations of simple non-graded generalized Lie algebras of Cartan type, originally introduced in [\textit{X. Xu}, J. Algebra 224, No. 1, 23--58 (2000; Zbl 0955.17019)]. Among the various technical results obtained, the main result of the paper consists of a complete classification of irreducible indecomposable weight modules for the case of weight multiplicities at most one.
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