论文标题
在谎言和三元校长捆绑包上
On Lie semiheaps and ternary principal bundles
论文作者
论文摘要
我们介绍了一个谎言的概念，因为它是配备para缔合三元产品的平滑歧管。对于特定类别的谎言，我们确定了左行矢量场的存在。此外，我们展示了这种流形如何与谎言群体相关，并在此三元环境中建立了主要捆绑包的类似物。特别是，我们将众所周知的“堆”函数推广到谎言组和主要捆绑包的氛围中。
We introduce the notion of a Lie semiheap as a smooth manifold equipped with a para-associative ternary product. For a particular class of Lie semiheaps we establish the existence of left-invariant vector fields. Furthermore, we show how such manifolds are related to Lie groups and establish the analogue of principal bundles in this ternary setting. In particular, we generalise the well-known `heapification' functor to the ambience of Lie groups and principal bundles.
