本論文藉由擾動不變聯絡得到一個李代數上鏈餘鏈複體，並透過懷特海德的定理 計算其指標。

In this work we obtain a Lie algebra cochain complex via variating the invariant connections infinitesimally, and compute its index by using Whiteheads Theorem.

1. Introduction 2
2. Preliminaries 3
3. Invariant connections and Wang’s theorem 6
4. Infinitesimal variations of invariant connections 15

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