Explicit study of Lie group convolution algebras as deformation quantizations (Q1033710)
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scientific article; zbMATH DE number 5627975
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit study of Lie group convolution algebras as deformation quantizations |
scientific article; zbMATH DE number 5627975 |
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Explicit study of Lie group convolution algebras as deformation quantizations (English)
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10 November 2009
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In this interesting paper the authors show that Rieffel's construction of the Kontsevich star product on the dual of a Lie algebra provides a deformation quantization, the properties of which they study. In this way they establish the converse of a previous result of \textit{N. Ben Amar, M. Chaabouni} and \textit{M. Hfaiedh}, [Boll. Unione Mat. Ital., Sez. B, Artic. Ric. Mat. (8) 10, No.~2, 365--379 (2007; Zbl 1178.53092)].
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deformation quantization
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star product
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Lie Group convolution algebras
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