简介
王建磐等编著的《李理论与表示论》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。本书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。
目录
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
5 Howe duality for Lie superalgebras of type
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-finite and tame group schemes
References
Daniel K. Nakano : 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 finite groups of Lie type
References
Toshiyuki Tanisaki: D-modules and Representation Theory
1 Motivation
2 Basic concepts
3 Derived category
4 Coherent D-rnodules
5 Regular holonomic D-modules
6 Application to representation theory
References
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
5 Howe duality for Lie superalgebras of type
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-finite and tame group schemes
References
Daniel K. Nakano : 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 finite groups of Lie type
References
Toshiyuki Tanisaki: D-modules and Representation Theory
1 Motivation
2 Basic concepts
3 Derived category
4 Coherent D-rnodules
5 Regular holonomic D-modules
6 Application to representation theory
References
李理论与表示论
- 名称
- 类型
- 大小
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