cohomology of semi-simple Lie algebras

例句：

1. 1. In the study of cohomology, we need to understand the relationshipbetween different dimensions.
   在研究共形理论时，我们需要理解不同维度之间的关系。
2. 2. Thecohomology of a Lie algebra is crucial for understanding its topologicalproperties.
   一个李代数的共形论对于理解其拓扑性质至关重要。
3. 3.The cohomology of a semi-simple Lie algebra plays a keyrole in the study of quantum mechanics.
   半单李代数的共形论在量子力学研究中起着关键作用。