Various instances of Harish-Chandra pairs
Abstract
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.
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