On the notion of induced representation of a Lie algebra: geometric description and chronometric applications (Q1876430)
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scientific article; zbMATH DE number 2097365
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the notion of induced representation of a Lie algebra: geometric description and chronometric applications |
scientific article; zbMATH DE number 2097365 |
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On the notion of induced representation of a Lie algebra: geometric description and chronometric applications (English)
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7 September 2004
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A general Lie-algebraic description is developed for induced representations of a Lie group \(G\) in terms of invariant connections in homogeneous bundle spaces. This approach generalizes the treatment of the case \(G=SU(n,m)\) undertaken by \textit{S. M. Paneitz} and \textit{I. M. Segal} in the 1980s, see, for example, their paper [J. Funct. Anal. 47, 78--142 (1982; Zbl 0535.58019)].
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induced representation of a Lie group
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Segal's chronometric theory
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homogeneous bundle
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geometry of tangent representation
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0.8719901
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0.8647045
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0.8566876
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0.8563488
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0.85403407
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0.84931946
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