《李理论与表示论（英文版）》包含华东师范大学2009年及2006年“李理论与表示论”研究生暑期学校的4篇讲义。内容包括李超代数表示论的一些新的发 展；有限群概型的几何与组合方面的理论；简约代数群及相关Frobenius核、李型有限群的上同调理论与相互关联；D-模理论在李理论中的应用等。各作 者对相应的专题进行了比较详尽和透彻的叙述，并辅以例子和练习。《李理论与表示论（英文版）》为从事李理论与表示论研究的学生及相关研究人员很好的参考资 料。
- Front Matter
- Shun-Jen Cheng and Weiqiang Wang : Dualities for Lie Superalgebras
- 0 Introduction
- 1 Lie superalgebra ABC
- 2 Finite-dimensional modules of Lie superalgebras
- 3 Schur-Sergeev duality
- 4 Howe duality for Lie superalgebras of type gl
- 5 Howe duality for Lie superalgebras of type osp
- 6 Super duality
- References
- Rolf Farnsteiner : Combinatorial and Geometric Aspects of the Representation Theory of Finite Group Schemes
- 0 Introduction
- 1 Finite group schemes
- 2 Complexity and representation type
- 3 Support varieties and support spaces
- 4 Varieties of tori
- 5 Quivers and path algebras
- 6 Representation-¯nite and tame group schemes
- References
- Daniel KNakano : Cohomology of Algebraic Groups, Finite Groups,and Lie Algebras: Interactions and Connections
- 1 Overview
- 2 Representation theory
- 3 Homological algebra
- 4 Relating support varieties
- 5 Relating cohomology
- 6 Computing cohomology for ¯nite groups of Lie type
- References
- Toshiyuki Tanisaki : D-modules and Representation Theory
- 1 Motivation
- 2 Basic concepts
- 3 Derived category
- 4 Coherent D-modules
- 5 Regular holonomic D-modules
- 6 Application to representation theory
- References
