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arXiv · 2207.07083

Various instances of Harish-Chandra pairs

Alexei Kotov·Vladimir Salnikov
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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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Alexei Kotov, Vladimir Salnikov. 2022-07-14. Various instances of Harish-Chandra pairs. https://doi.org/10.1016/j.geomphys.2023.104917

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