Corpus ID: 195345193

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}
}
  • Benoît Jubin, Alexei A Kotov, +1 author Vladimir Salnikov
  • Published 2019
  • Mathematics
  • 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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    References

    Publications referenced by this paper.
    SHOWING 1-10 OF 40 REFERENCES

    Topological Vector Spaces

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Lie groups and characteristic classes, In preparation

    • DG A. Kotov et al
    • 2019

    On the structure of graded Lie groups, In preparation

    • Alexei Kotov, Norbert Poncin, Vladimir Salnikov
    • 2019