Differential calculus over double Lie algebroids

  • Sophie Chemla

    Sorbonne Université, Paris, France
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Abstract

M. Van den Bergh [20] defined the notion of a double Lie algebroid and showed that a double quasi-Poisson algebra gives rise to a double Lie algebroid.We give new examples of double Lie algebroids and develop a differential calculus in that context. We recover the non commutative Karoubi–de Rham complex [7, 9] and the double Poisson–Lichnerowicz cohomology [16] as particular cases of our construction.

Cite this article

Sophie Chemla, Differential calculus over double Lie algebroids. J. Noncommut. Geom. 14 (2020), no. 1, pp. 191–222

DOI 10.4171/JNCG/364