Conformally Covariant Bi-differential Operators on a Simple Real Jordan Algebra

Salem Ben Saïd; Jean Louis Clerc; Khalid Koufany

doi:10.1093/imrn/rny082

Conformally Covariant Bi-differential Operators on a Simple Real Jordan Algebra

Salem Ben Saïd, Jean Louis Clerc, Khalid Koufany

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

For a simple real Jordan algebra V, a family of bi-differential operators from C^∞ (V×V) to C∞ (V) is constructed. These operators are covariant under the rational action of the conformal group of V. They generalize the classical Rankin-Cohen brackets (caseV=}).

Original language	English
Pages (from-to)	2287-2351
Number of pages	65
Journal	International Mathematics Research Notices
Volume	2020
Issue number	8
DOIs	https://doi.org/10.1093/imrn/rny082
Publication status	Published - Apr 24 2020
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)

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10.1093/imrn/rny082

Cite this

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title = "Conformally Covariant Bi-differential Operators on a Simple Real Jordan Algebra",

abstract = "For a simple real Jordan algebra V, a family of bi-differential operators from C∞ (V×V) to C∞ (V) is constructed. These operators are covariant under the rational action of the conformal group of V. They generalize the classical Rankin-Cohen brackets (caseV=}).",

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AB - For a simple real Jordan algebra V, a family of bi-differential operators from C∞ (V×V) to C∞ (V) is constructed. These operators are covariant under the rational action of the conformal group of V. They generalize the classical Rankin-Cohen brackets (caseV=}).

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Conformally Covariant Bi-differential Operators on a Simple Real Jordan Algebra

Abstract

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