Ryoshi Hotta,
Kiyoshi Takeuchi,
Toshiyuki Tanisaki
Birkhäuser Boston
2008e druk, 2007
9780817643638
D-Modules, Perverse Sheaves, and Representation Theory
Specificaties
Gebonden, 412 blz.
|
Engels
Birkhäuser Boston |
2008e druk, 2007
ISBN13: 9780817643638
Rubricering
Onderdeel van serie
Progress in Mathematics
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780817643638
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:412
Uitgever:Birkhäuser Boston
Druk:2008
Serie:Progress in Mathematics
Inhoudsopgave
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.- Representation Theory.- Algebraic Groups and Lie Algebras.- Conjugacy Classes of Semisimple Lie Algebras.- Representations of Lie Algebras and D-Modules.- Character Formula of HighestWeight Modules.- Hecke Algebras and Hodge Modules.