Représentations irréductibles bornées des groupes de Lie exponentiels. (Irreducible bounded representations of exponential Lie groups) (Q2753431)
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scientific article; zbMATH DE number 1670213
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Représentations irréductibles bornées des groupes de Lie exponentiels. (Irreducible bounded representations of exponential Lie groups) |
scientific article; zbMATH DE number 1670213 |
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11 November 2001
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solvable exponential Lie group
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irreducible bounded representations
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Représentations irréductibles bornées des groupes de Lie exponentiels. (Irreducible bounded representations of exponential Lie groups) (English)
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Let \(G\) be a solvable exponential Lie group. In this paper the authors characterize all the continuous topologically irreducible bounded representations \((T,U)\) of \(G\) on a Banach space \(U\), and obtain a new type of representations which are different from the induced representations if \(G\) satisfies, moreover, another condition.
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