Ryoshi Hotta, Kiyoshi Takeuchi, Toshiyuki Tanisaki

eBook, PDF

D-Modules, Perverse Sheaves, and Representation Theory (eBook, PDF)

Beschreibung

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.

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.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 5.51MB

Barrierefreiheit

• Text-to-Speech

Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 412
• Erscheinungstermin: 12. Oktober 2007
• Englisch
• ISBN-13: 9780817645236
• Artikelnr.: 43727958

Rezensionen

From the reviews:

"A self-contained introduction to D-modules, with the aim of showing how they were used to solve the Kazhdan-Lusztig conjecture. ... present book can be used as a good reference on D-modules and on advanced representation theory of semisimple Lie algebras, but especially as a detailed account on the relations between them; in fact, in our opinion this is the first and very welcome complete work devoted to a mainstream research field (the 'Algebraic Analysis' approach to representation theory) which remains very active almost thirty years." (Corrado Marastoni, Mathematical Reviews, Issue 2008 k)

"The present book provides a reader-friendly treatment of the subject, suitable for graduate students who wish to enter the area. Part I of the book presents the theory of D-modules ... . The treatment in the book is quite complete ... . Part II provides the necessary background in the structure of semi-simple Lie algebras and their representations." (Dennis Gaitsgory, Bulletin of the American Mathematical Society, Vol. 47 (4), October, 2010)