18-19 October 2018
Laboratoire de Mathématiques de Reims
Europe/Paris timezone

Conformally covariant bi-differential operators for differential forms

18 Oct 2018, 14:00
50m
Amphi 2 (UFR Sciences)

Amphi 2

UFR Sciences

Exposé

Speaker

Khalid Koufany (Université de Lorraine - Nancy)

Description

The classical Rankin-Cohen brackets are bi-differential operators from $C^\infty(\mathbb R)\times C^\infty(\mathbb R)$ into $ C^\infty(\mathbb R)$. They are covariant for the diagonal action of ${\rm SL}(2,\mathbb R)$ through principal series representations. We construct generalizations of these operators, replacing $\mathbb R$ by $\mathbb R^n,$ the group ${\rm SL}(2,\mathbb R)$ by the group ${\rm SO}_0(1,n+1)$ viewed as the conformal group of $\mathbb R^n,$ and functions by differential forms.

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