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Various instances of Harish-Chandra pairs (2207.07083v1)
Published 14 Jul 2022 in math.DG, math.GR, and math.RA
Abstract: In this paper we address several algebraic constructions in the context of groupoids, algebroids and $\mathbb Z$-graded manifolds. We generalize the results of integration of $\mathbb N$-graded Lie algebras to the honest $\mathbb Z$-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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