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Collected Papers

Volume I 1955-1966

  • Bertram Kostant
  • Anthony Joseph
  • Shrawan Kumar
  • Michèle Vergne

Table of contents

  1. Front Matter
    Pages i-xix
  2. Bertram Kostant
    Pages 16-19
  3. Bertram Kostant
    Pages 28-31
  4. Bertram Kostant
    Pages 40-63
  5. Bertram Kostant
    Pages 92-108
  6. Bertram Kostant
    Pages 109-129
  7. G. Hochschild, Bertram Kostant, Alex Rosenberg
    Pages 265-290
  8. Bertram Kostant
    Pages 309-317
  9. Bertram Kostant
    Pages 318-395
  10. Bertram Kostant
    Pages 483-491
  11. Back Matter
    Pages 1-26

About this book

Introduction

For more than five decades Bertram Kostant has been one of the major architects of modern Lie theory. Virtually all his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests span a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. Some specific topics cover algebraic groups and invariant theory, the geometry of homogeneous spaces, representation theory, geometric quantization and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular forms, Whittaker theory, Toda lattice, and much more. It is striking to note that Lie theory (and symmetry in general) now occupies an ever increasing larger role in mathematics than it did in the fifties.

This is the first volume (1955-1966) of a five-volume set of Bertram Kostant’s collected papers. A distinguished feature of this first volume is Kostant’s commentaries and summaries of his papers in his own words.

Keywords

1950s 1960s Abstract algebra Algebra Cohomology Eigenvalue Group representation algebra Representation theory mathematical physics

Authors and affiliations

  • Bertram Kostant
    • 1
  1. 1.(MIT)Massachusetts Institute of TechnologyCambridge U.S.A.

Editors and affiliations

  • Anthony Joseph
    • 1
  • Shrawan Kumar
    • 2
  • Michèle Vergne
    • 3
  1. 1.Fac. Mathematics & Computer ScienceWeizmann Institute of ScienceRehovotIsrael
  2. 2.Dept. MathematicsUniversity of North CarolinaChapel HillU.S.A.
  3. 3.Centre de MathématiquesEcole PolytechniquePalaiseau CedexFrance

Bibliographic information