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Lie Theory and Geometry

In Honor of Bertram Kostant

  • Book
  • © 1994

Overview

Editors:
  1. Jean-Luc Brylinski

    1. Department of Mathematics, Penn State University, University Park, USA

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  2. Ranee Brylinski

    1. Department of Mathematics, Penn State University, University Park, USA

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  3. Victor Guillemin

    1. Department of Mathematics, MIT, Cambridge, USA

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  4. Victor Kac

    1. Department of Mathematics, MIT, Cambridge, USA

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Part of the book series: Progress in Mathematics (PM, volume 123)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-xliii
    Download chapter PDF

  2. Normality of Some Nilpotent Varieties and Cohomology of Line Bundles on the Cotangent Bundle of the Flag Variety

    • Bram Broer
    Pages 1-19

  3. Holomorphic Quantization and Unitary Representations of the Teichmüller Group

    • Jean-Luc Brylinski, Dennis McLaughlin
    Pages 21-64

  4. Differential Operators on Conical Lagrangian Manifolds

    • Ranee Brylinski, Bertram Kostant
    Pages 65-96

  5. Groups and the Buckyball

    • Fan R. K. Chung, Bertram Kostant, Shlomo Sternberg
    Pages 97-126

  6. Spinor and Oscillator Representations of Quantum Groups

    • Jintai Ding, Igor B. Frenkel
    Pages 127-165

  7. Familles cohérentes sur les groupes de Lie semi-simples et restriction aux sous-groupes compacts maximaux

    • Michel Duflo, Michèle Vergne
    Pages 167-215

  8. The Differential Geometry of Fedosov’s Quantization

    • Claudio Emmrich, Alan Weinstein
    Pages 217-239

  9. Closedness of Star Products and Cohomologies

    • Moshé Flato, Daniel Sternheimer
    Pages 241-259

  10. The Algebra of Chern—Simons Classes, the Poisson Bracket on it, and the Action of the Gauge Group

    • Israel M. Gelfand, Mikhail M. Smirnov
    Pages 261-288

  11. A Distinguished Family of Unitary Representations for the Exceptional Groups of Real Rank = 4

    • Benedict H. Gross, Nolan R. Wallach
    Pages 289-304

  12. Reduced Phase Spaces and Riemann-Roch

    • Victor Guillemin
    Pages 305-334

  13. The Invariants of Degree up to 6 of all n-ary m-ics

    • Roger Howe
    Pages 335-348

  14. Tensor Products of Modules for a Vertex Operator Algebra and Vertex Tensor Categories

    • Yi-Zhi Huang, James Lepowsky
    Pages 349-383

  15. Enveloping Algebras: Problems Old and New

    • Anthony Joseph
    Pages 385-413

  16. Integrable Highest Weight Modules over Affine Superalgebras and Number Theory

    • Victor G. Kac, Minoru Wakimoto
    Pages 415-456

  17. Quasi-Equivariant D-Modules, Equivariant Derived Category, and Representations of Reductive Lie Groups

    • Masaki Kashiwara, Wilfried Schmid
    Pages 457-488

  18. Meromorphic Monoidal Structures

    • D. Kazhdan
    Pages 489-495

  19. The Nil Hecke Ring and Singularity of Schubert Varieties

    • Shrawan Kumar
    Pages 497-507

  20. Some Classical and Quantum Algebras

    • Bong H. Lian, Gregg J. Zuckerman
    Pages 509-529
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Keywords

About this book

This volume, dedicated to Bertram Kostant on the occasion of his 65th birthday, is a collection of 22 invited papers by leading mathematicians working in Lie theory, geometry, algebra, and mathematical physics. Kostant’s fundamental work in all these areas has provided deep new insights and connections, and has created new fields of research. The papers gathered here present original research articles as well as expository papers, broadly reflecting the range of Kostant’s work.

Reviews

"[The papers] are of high interest and high quality and make this volume one of the most interesting and coherent collective publications this reviewer has ever seen."

–Int. Math. Nach.

Editors and Affiliations

  • Department of Mathematics, Penn State University, University Park, USA

    Jean-Luc Brylinski, Ranee Brylinski

  • Department of Mathematics, MIT, Cambridge, USA

    Victor Guillemin, Victor Kac

Bibliographic Information

  • Book Title: Lie Theory and Geometry

  • Book Subtitle: In Honor of Bertram Kostant

  • Editors: Jean-Luc Brylinski, Ranee Brylinski, Victor Guillemin, Victor Kac

  • Series Title: Progress in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4612-0261-5

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1994

  • Hardcover ISBN: 978-0-8176-3761-3Published: 01 November 1994

  • Softcover ISBN: 978-1-4612-6685-3Published: 12 October 2012

  • eBook ISBN: 978-1-4612-0261-5Published: 06 December 2012

  • Series ISSN: 0743-1643

  • Series E-ISSN: 2296-505X

  • Edition Number: 1

  • Number of Pages: XLIII, 596

  • Topics: Topological Groups, Lie Groups, Algebraic Geometry, Algebra, Geometry

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