VARIOUS INSTANCES OF HARISH-CHANDRA PAIRS

Alexei Kotov (1) , Vladimir Salnikov (2, 3)

1 University of Hradec Králové
2 LaSIE - Laboratoire des Sciences de l'Ingénieur pour l'Environnement - UMR 7356
3 CNRS - Centre National de la Recherche Scientifique

In this paper we address several algebraic constructions in the context of groupoids, algebroids and Z-graded manifolds. We generalize the results of integration of N-graded Lie algebras to the honest Z-graded case and provide some examples of application of the technique based on Harish-Chandra pairs. We extend the construction to the algebroids setting, the main example being the action Lie algebroid.

Mots clés: Graded manifolds; algebroids; Hopf algebras; Harish-Chandra pairs

Domaines: Mathématiques [math]

Alexei Kotov, Vladimir Salnikov. VARIOUS INSTANCES OF HARISH-CHANDRA PAIRS. 2022. ⟨hal-03782672⟩