N− Transvectants

Document Type : Research Articles

Authors

1 D\'epartement de Math\'ematiques, Facult\'e des Sciences de Gafsa, 2112, Tunisie.

2 Universit\'e de Paris Saclay, Laboratoire de Math\'ematiques et de Mod\'elisation d'Evry, CNRS, Univ Evry , 23 bvd de France 91 037 Evry Cedex France

3 D\'epartement de Math\'ematiques, Facult\'e des Sciences de Sfax, 3000, Tunisie.

Abstract

We consider the sl(2,R)-module structure on the spaces of n−ary differential operators acting on the spaces of weighted densities. We classify sl(2,R)-invariant n−ary differential operators acting on the spaces of weighted densities.

Keywords