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0 reviews第1部分可用作自学或中级研究生课程一个学期的较材,附有大量的习题和例题。主要的预备知识是要求熟悉g的结构理论。书中讲述了范畴O中的基本技术,如BGG互反和Jantzen平移函子,最后以Kazhdan-Lusztig猜想证明的一个概述(归功于Beilinson-Bernstein和Brylinski-Kashiwara) 结束。完整证明超出了本书范围,它需要深刻的几何方法:D-模和旗簇的反常层。
第Ⅱ部分介绍了当前研究中重要的相关专题:抛物范畴O、射影函子、斜模、扭变和完备函子,以及 Beilinson-Ginzburg-Soergel 的 Koszul 对偶定理。