simply connected四维李群上的左不变广义复和Kähler结构：分类和不变上同调
Left invariant generalized complex and Kähler structures on simply connected four dimensional Lie groups: classification and invariant cohomologies
摘要：
本文给出了四维单连通李群上第1型左不变广义复结构的完全分类，并计算了每类复结构的不变广义Dolbeault上同调、不变广义Bott-Chern上同调和不变广义Aeppli上同调.我们还对四维单连通李群上的左不变广义Kähler结构进行了分类.
英文摘要：
We give a complete classification of left invariant generalized complex structures of type 1 on four dimensional simply connected Lie groups and we compute for each class its invariant generalized Dolbeault cohomology, its invariant generalized Bott-Chern cohomology and its invariant generalized Aeppli cohomology. We classify also left invariant generalized Kähler structures on four dimensional simply connected Lie groups.
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