导交与自由dg-Lie代数

IF 1.1 2区数学 Q1 MATHEMATICS

Publications of the Research Institute for Mathematical Sciences Pub Date : 2020-02-04 DOI:10.4171/prims/57-3-11

Julien Grivaux

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引用次数: 2

摘要

研究了任意导出格式上的自由dg-Lie代数，并计算了它们的包络代数和射流代数。我们还引入了派生的扭曲连接，并将它们与扭曲的平方零扩展上的提升联系起来。这种构造使我们能够为有关子方案的派生变形理论的现有结果提供新的概念方法。

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Derived Intersections and Free dg-Lie Algebroids

We study free dg-Lie algebroids over arbitrary derived schemes, and compute their universal enveloping and jet algebras. We also introduce derived twisted connections, and relate them with lifts on twisted square zero extensions. This construction allows us to provide new conceptual approaches of existing results concerning the derived deformation theory of subschemes.

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来源期刊

Publications of the Research Institute for Mathematical Sciences 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of the Publications of the Research Institute for Mathematical Sciences (PRIMS) is to publish original research papers in the mathematical sciences.