论文标题
方便的谎言代数延长
Prolongations of convenient Lie algebroids
论文作者
论文摘要
我们首先在方便的环境中定义了Lie代数的概念。在有限的维度上下文中，我们将谎言代数在纤维歧管上延长的概念适应了在纤维歧管上方便的谎言代数。然后，我们表明，在足够的假设下，这种构造在投影和直接限制下是稳定的。
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.
