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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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https://hal.archives-ouvertes.fr/hal-03782672
Contributor : Vladimir Salnikov Connect in order to contact the contributor
Submitted on : Wednesday, September 21, 2022 - 1:19:00 PM
Last modification on : Saturday, October 1, 2022 - 3:30:05 AM

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  • HAL Id : hal-03782672, version 1

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

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