Prolongations of convenient Lie algebroids

Patrick Cabau; Fernand Pelletier

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arXiv · 2007.10657

Prolongations of convenient Lie algebroids

Patrick Cabau·Fernand Pelletier

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Abstract

We first define the concept of Lie algebroid in the convenient setting. In reference to the finite dimensional context, we adapt the notion of prolongation of a Lie algebroid over a fibred manifold to a convenient Lie algebroid over a fibred manifold. Then we show that this construction is stable under projective and direct limits under adequate assumptions.

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Patrick Cabau, Fernand Pelletier. 2020-07-21. Prolongations of convenient Lie algebroids. https://arxiv.org/abs/2007.10657

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