AI 中文总结
该研究针对李代数胚同伦表示态射提出一般定义，此定义源于带同伦表示系数的上同调的函子性要求，在此定义下，相关表示在同调伦不变性和平滑族局部平凡性方面与实表示行为类似。
AI 中文摘要
我们提出了李代数胚同伦表示态射的一般定义，这是由带同伦表示系数的上同调具有函子性这一要求所规定的。有了这个定义后，就上同调的同伦不变性和平滑族的局部平凡性而言，此类表示的行为与实表示类似，原因与经典情形基本相同。
英文摘要
We propose a general definition of morphism of representations up to homotopy of Lie algebroids, which is be mandated by the requirement that taking cohomology with coefficients in a representation up to homotopy behave functorially. With this definition in place, we show that such representations behave in a similar way to honest representations as far as homotopy invariance of cohomology and local triviality of smooth families are concerned, and for essentially the same reasons as in the classical case.
Comments30 pages. Comments are welcome!
