D-Modules, Perverse Sheaves, and Representation Theory (inbunden)
Fler böcker inom
Inbunden (Hardback)
Antal sidor
Birkhauser Boston Inc
Kiyoshi Takeuchi
Takeuchi, Kiyoshi
20 schw-w Zeichn
XI, 412 p.
234 x 156 x 24 mm
772 g
Antal komponenter
1 Hardback
D-Modules, Perverse Sheaves, and Representation Theory (inbunden)

D-Modules, Perverse Sheaves, and Representation Theory

Inbunden Engelska, 2007-11-01
  • Skickas inom 10-15 vardagar.
  • Gratis frakt inom Sverige över 159 kr för privatpersoner.
Finns även som
Visa alla 1 format & utgåvor
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.
Visa hela texten

Passar bra ihop

  1. D-Modules, Perverse Sheaves, and Representation Theory
  2. +
  3. High Performance Computing on Vector Systems 2006

De som köpt den här boken har ofta också köpt High Performance Computing on Vector Systems 2006 av Thomas Boenisch, Sunil Tiyyagura, Toshiyuki Furui, Yoshiki Seo, Wolfgang Bez (inbunden).

Köp båda 2 för 2388 kr


Har du läst boken? Sätt ditt betyg »

Fler böcker av författarna

  • Representation Theory of Algebraic Groups and Quantum Groups

    Akihiko Gyoja, Hiraku Nakajima, Ken-Ichi Shinoda, Toshiaki Shoji, Toshiyuki Tanisaki

    Invited articles by top notch experts Focus is on topics in representation theory of algebraic groups and quantum groups Of interest to graduate students and researchers in representation theory, group theory, algebraic geometry, quantum theory an...

  • Schubert Calculus - Osaka 2012

    Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

    This volume is the proceedings of the 5th MSJ Seasonal Institute 'Schubert Calculus' held at Osaka City University, September 17th-27th, 2012. It is recommended for all researchers and graduate students who are interested in Schubert calculus and ...

Recensioner i media

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)


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.