D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, 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. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

Preface.- Introduction.- Part I: D-modules and perverse sheaves.- Preliminary notions.- Coherent D-modules.- Holonomic D-modules.- Analytic D-modules and the de Rham functor.- Theory of meromorphic connections.- Regular holonomic D-modules.- Riemann-Hilbert correspondence.- Perverse sheaves.- Part II: Representation theory.- Algebraic groups and Lie algebras.- Conjugacy classes of semisimple Lie algebras.- Representations of Lie algebras and D-modules.- Character formula of highest weight modules.- Hecke algebras and Hodge modules.- A: Algebraic varieties.- B: Derived categories and derived functors.- C: Sheaves and functors in derived categories.- D: Filtered rings.- E: Symplectic geometry.- References.- Index.