Rankin-Cohen brackets and associativity (Q1013618)
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scientific article; zbMATH DE number 5544988
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rankin-Cohen brackets and associativity |
scientific article; zbMATH DE number 5544988 |
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Rankin-Cohen brackets and associativity (English)
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20 April 2009
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\textit{D. Zagier} introduced and discussed in [Proc. Indian Acad. Sci., Math. Sci. 104, No.~1, 57--75 (1994; Zbl 0806.11022)] a particular algebraic structure of the graded ring of modular forms, which is derived from the Rankin-Cohen brackets. In this paper, this structure is interpreted in terms of an associative deformation (star product) of this graded ring . More precisely, it is related to the Moyal star product on \({\mathbb C}^4\).
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Rankin-Cohen brackets
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quantization
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discrete series representations
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star product
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modular forms
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associative deformation
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