论文标题

Harish-Chandra对的各种实例

Various instances of Harish-Chandra pairs

论文作者

Kotov, Alexei, Salnikov, Vladimir

论文摘要

在本文中,我们介绍了几个代数构造,在群体素,代数和$ \ mathbb z $分类的歧管的背景下。我们将$ \ mathbb n $ lie代数的集成结果概括为诚实的$ \ Mathbb z $ raded案例,并提供了一些基于Harish-Chandra Pairs的技术应用的示例。我们将构造扩展到代数设置,主要例子是动作为代数。

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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