Rankin-Cohen brackets and associativity
type: Item
instance of: scholarly article
title: Rankin-Cohen brackets and associativity
zbMATH Open document ID: 1167.53075
author: Michael Pevzner
published in: Letters in Mathematical Physics
publication date: 2009-04-20T00:00:00Z
review text: \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 \({\mathbb C}^4\).
reviewed by: Benjamin Cahen
Mathematics Subject Classification ID: 53D55
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 22E46
zbMATH DE Number: 5544988
zbMATH Keywords: Rankin-Cohen brackets
zbMATH Keywords: quantization
zbMATH Keywords: discrete series representations
zbMATH Keywords: star product
zbMATH Keywords: modular forms
zbMATH Keywords: associative deformation
MaRDI profile type: Publication
full work available at URL: s11005-008-0266-3
OpenAlex ID: W1968711233
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DOI: 10.1007/S11005-008-0266-3
description: scientific article; zbMATH DE number 5544988