# Differential graded Lie groups and their differential graded Lie algebras

@inproceedings{Jubin2019DifferentialGL, title={Differential graded Lie groups and their differential graded Lie algebras}, author={Beno{\^i}t Jubin and Alexei A Kotov and Norbert Poncin and Vladimir Salnikov}, year={2019} }

In this paper we discuss the question of integrating differential graded Lie algebras (DGLA) to differential graded Lie groups (DGLG). We first recall the classical problem of integration in the context, and present the construction for (non-graded) differential Lie algebras. Then, we define the category of differential graded Lie groups and study its properties. We show how to associate a differential graded Lie algebra to every differential graded Lie group and vice-versa. For the DGLA → DGLG… CONTINUE READING

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