Progress in Mathematics

Studies in Lie Theory

Dedicated to A. Joseph on his Sixtieth Birthday

Editors: Bernstein, Joseph, Hinich, Vladimir, Melnikov, Anna (Eds.)

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About this book

Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject.

Two introductory biographical overviews of Joseph's contributions in classical representation theory (the theory of primitive ideals in semisimple Lie algebras) and quantized representation theory (the study of the quantized enveloping algebra) are followed by 16 research articles covering a number of varied and interesting topics in representation theory.

Contributors: J. Alev; A. Beilinson; A. Braverman; I. Cherednik; J. Dixmier; F. Dumas; P. Etingof; D. Farkas; D. Gaitsgory; F. Ivorra; A. Joseph; D. Joseph; M. Kashiwara; D. Kazhdan; A.A. Kirillov; B. Kostant; S. Kumar; G. Letzter; T. Levasseur; G. Lusztig; L. Makar-Limanov; W. McGovern; M. Nazarov; K-H. Neeb; L.G. Rybnikov; P. Schapira; V. Schechtman; A. Sergeev; J.T. Stafford; Ya. Varshavsky; N. Wallach; and I. Waschkies.

Table of contents (18 chapters)

  • The work of Anthony Joseph in classical representation theory

    McGovern, W.

    Pages 3-8

  • Quantized representation theory following Joseph

    Farkas, Daniel R. (et al.)

    Pages 9-17

  • Opérateurs différentiels invariants et problème de Noether

    Alev, Jacques (et al.)

    Pages 21-50

  • Langlands parameters for Heisenberg modules

    Beilinson, A.

    Pages 51-60

  • Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential

    Braverman, A. (et al.)

    Pages 61-78

Buy this book

eBook $179.00
price for USA (gross)
  • ISBN 978-0-8176-4478-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $229.00
price for USA
  • ISBN 978-0-8176-4342-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Studies in Lie Theory
Book Subtitle
Dedicated to A. Joseph on his Sixtieth Birthday
Editors
  • Joseph Bernstein
  • Vladimir Hinich
  • Anna Melnikov
Series Title
Progress in Mathematics
Series Volume
243
Copyright
2006
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-0-8176-4478-9
DOI
10.1007/0-8176-4478-4
Hardcover ISBN
978-0-8176-4342-3
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XXII, 494
Number of Illustrations and Tables
2 b/w illustrations
Topics