Geodesic
Differential Operators and Infinitesimally Equivariant Bundles
Emile Bouaziz1
1Institute of Mathematics, Academia Sinica, Taipei City, Taiwan
Journal of Lie Theory, Tome 35 (2025) no. 3, pp. 583-591

Voir la notice de l'article provenant de la source Heldermann Verlag

We study AV-modules, as in the work of Billig and collaborators, from a more geometric perspective. We show that if the underlying sheaf is a vector bundle, then the covariant derivative by a vector field depends almost O-linearly on the vector field. More precisely, we will show that a certain Lie map is a differential operator. This strengthens a theorem of the author and Rocha, in the sense that the bound on the order of a certain differential operator is improved upon quadratically.
Classification : 17B65, 14F10, 14B10
Mots-clés : Lie algebras of vector fields, differential operators

Emile Bouaziz  1

1 Institute of Mathematics, Academia Sinica, Taipei City, Taiwan 
Emile Bouaziz. Differential Operators and Infinitesimally Equivariant Bundles. Journal of Lie Theory, Tome 35 (2025) no. 3, pp. 583-591. http://geodesic.mathdoc.fr/item/JOLT_2025_35_3_a6/
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     title = {Differential {Operators} and {Infinitesimally} {Equivariant} {Bundles}},
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