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-ˉnite 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 ˉnite 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
