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Studies in Lie Theory

Dedicated to A. Joseph on his Sixtieth Birthday

  • Book
  • © 2006

Overview

Editors:
  1. Joseph Bernstein

    1. School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, Israel

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  2. Vladimir Hinich

    1. Department of Mathematics, University of Haifa, Mount Carmel, Haifa, Israel

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    You can also search for this editor in PubMed   Google Scholar

  3. Anna Melnikov

    1. Department of Mathematics, University of Haifa, Mount Carmel, Haifa, Israel

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  • Contains new results on different aspects of Lie theory, including Lie superalgebras, quantum groups, crystal bases, representations of reductive groups in finite characteristic, and
  • the geometric Langlands program

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

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-xxvi
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  2. Survey and Review

    1. Front Matter

      Pages 1-1
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    2. The work of Anthony Joseph in classical representation theory

      • W. McGovern
      Pages 3-8

    3. Quantized representation theory following Joseph

      • Daniel R. Farkas, Gail Letzter
      Pages 9-17

  3. Research Articles

    1. Front Matter

      Pages 19-19
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    2. Opérateurs différentiels invariants et problème de Noether

      • Jacques Alev, François Dumas
      Pages 21-50

    3. Langlands parameters for Heisenberg modules

      • A. Beilinson
      Pages 51-60

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

      • A. Braverman, P. Etingof
      Pages 61-78

    5. Irreducibility of perfect representations of double affine Hecke algebras

      • Ivan Cherednik
      Pages 79-95

    6. Algebraic groups over a 2-dimensional local field: Some further constructions

      • Dennis Gaitsgory, David Kazhdan
      Pages 97-130

    7. Modules with a Demazure flag

      • Anthony Joseph
      Pages 131-169

    8. Microlocalization of ind-sheaves

      • M. Kashiwara, P. Schapira, F. Ivorra, I. Waschkies
      Pages 171-221

    9. Endoscopic decomposition of certain depth zero representations

      • David Kazhdan, Yakov Varshavsky
      Pages 223-301

    10. Odd family algebras

      • A. A. Kirillov, L. G. Rybnikov
      Pages 303-318

    11. Gelfand-Zeitlin theory from the perspective of classical mechanics. I

      • Bertram Kostant, Nolan Wallach
      Pages 319-364

    12. Extensions of algebraic groups

      • Shrawan Kumar, Karl-Hermann Neeb
      Pages 365-376

    13. Differential operators and cohomology groups on the basic affine space

      • Thierry Levasseur, J. T. Stafford
      Pages 377-403

    14. A q-analogue of an identity of N. Wallach

      • G. Lusztig
      Pages 405-410

    15. Centralizers in the quantum plane algebra

      • L. Makar-Limanov
      Pages 411-416

    16. Centralizer construction of the Yangian of the queer Lie superalgebra

      • Maxim Nazarov, Alexander Sergeev
      Pages 417-441
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Keywords

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.

Editors and Affiliations

  • School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, Israel

    Joseph Bernstein

  • Department of Mathematics, University of Haifa, Mount Carmel, Haifa, Israel

    Vladimir Hinich, Anna Melnikov

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