Skip to main content
  • Book
  • © 1994

Lie Theory and Geometry

In Honor of Bertram Kostant

Birkhäuser

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

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, access via your institution.

Table of contents (22 chapters)

  1. Front Matter

    Pages i-xliii
  2. Holomorphic Quantization and Unitary Representations of the Teichmüller Group

    • Jean-Luc Brylinski, Dennis McLaughlin
    Pages 21-64
  3. Differential Operators on Conical Lagrangian Manifolds

    • Ranee Brylinski, Bertram Kostant
    Pages 65-96
  4. Groups and the Buckyball

    • Fan R. K. Chung, Bertram Kostant, Shlomo Sternberg
    Pages 97-126
  5. Spinor and Oscillator Representations of Quantum Groups

    • Jintai Ding, Igor B. Frenkel
    Pages 127-165
  6. The Differential Geometry of Fedosov’s Quantization

    • Claudio Emmrich, Alan Weinstein
    Pages 217-239
  7. Closedness of Star Products and Cohomologies

    • Moshé Flato, Daniel Sternheimer
    Pages 241-259
  8. Reduced Phase Spaces and Riemann-Roch

    • Victor Guillemin
    Pages 305-334
  9. Enveloping Algebras: Problems Old and New

    • Anthony Joseph
    Pages 385-413
  10. Meromorphic Monoidal Structures

    • D. Kazhdan
    Pages 489-495
  11. Some Classical and Quantum Algebras

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

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.

Keywords

  • Invariant
  • Lie
  • Manifold
  • algebra
  • cohomology
  • geometry
  • homology
  • mathematical physics

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

Buy it now

Buying options

eBook USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access