TY  - BOOK
AU  - Ryoshi Hotta
AU  - Kiyoshi Takeuchi
AU  - Toshiyuki Tanisaki
TI  - D-modules, perverse sheaves, and representation theory
T2  - Progress in Mathematics 
SN  - 9780817643638
AV  - QA179 
PY  - 2008///]
CY  - Boston
PB  - Birkhauser
N1  - PART I- D-Modules and Perverse Sheaves
1. Preliminary Notions
2. Coherent D-Modules
3. Holonomic D-Modules 
4. Analytic D-Modules and the de Rham Functor
5. Theory of Meromorphic Connections
6. Regular Holonomic D-Modules
7. Riemann–Hilbert Correspondence
8. Perverse Sheaves

PART - II Representation Theory
9. Algebraic Groups and Lie Algebras
10. Conjugacy Classes of Semisimple Lie Algebras
11. Representations of Lie Algebras and D-Modules
12. Character Formula of HighestWeight Modules
13. Hecke Algebras and Hodge Modules
N2  - D-modules continues to be an active area of stimulating research in such mathematical areas as algebra, analysis, differential equations, and representation theory.
Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. Significant concepts and topics that have emerged over the last few decades are presented, including a treatment of the theory of holonomic D-modules, perverse sheaves, the all-important Riemann-Hilbert correspondence, Hodge modules, and the solution to the Kazhdan-Lusztig conjecture using D-module theory. --- summary provided by publisher
UR  - https://link.springer.com/book/10.1007/978-0-8176-4523-6#toc
ER  -