Studies in Lie Theory

Dedicated to A. Joseph on his Sixtieth Birthday

  • Joseph Bernstein
  • Vladimir Hinich
  • Anna Melnikov

Part of the Progress in Mathematics book series (PM, volume 243)

Table of contents

  1. Front Matter
    Pages i-xxvi
  2. Survey and Review

    1. Front Matter
      Pages 1-1
    2. Daniel R. Farkas, Gail Letzter
      Pages 9-17
  3. Research Articles

    1. Front Matter
      Pages 19-19
    2. Jacques Alev, François Dumas
      Pages 21-50
    3. Anthony Joseph
      Pages 131-169
    4. M. Kashiwara, P. Schapira, F. Ivorra, I. Waschkies
      Pages 171-221
    5. David Kazhdan, Yakov Varshavsky
      Pages 223-301
    6. A. A. Kirillov, L. G. Rybnikov
      Pages 303-318
    7. Bertram Kostant, Nolan Wallach
      Pages 319-364
    8. Shrawan Kumar, Karl-Hermann Neeb
      Pages 365-376
    9. Thierry Levasseur, J. T. Stafford
      Pages 377-403
    10. L. Makar-Limanov
      Pages 411-416
    11. Maxim Nazarov, Alexander Sergeev
      Pages 417-441
    12. Vadim Schechtman
      Pages 443-494

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.


Cohomology Irreducibility Representation theory Volume algebra cohomology group homology

Editors and affiliations

  • Joseph Bernstein
    • 1
  • Vladimir Hinich
    • 2
  • Anna Melnikov
    • 2
  1. 1.School of Mathematical SciencesTel Aviv UniversityRamat Aviv, Tel AvivIsrael
  2. 2.Department of MathematicsUniversity of HaifaMount Carmel, HaifaIsrael

Bibliographic information

  • DOI
  • Copyright Information Birkhäuser Boston 2006
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4342-3
  • Online ISBN 978-0-8176-4478-9
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
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