Overview
- Kostant is an architect of modern Lie theory and his mathematics interests span a huge range
- Kostant's papers reach deep results, giving rise to whole new fields of activities
- Kostant has been honored by numerous prestigious organizations over the six decades of his career
Buy print copy
Tax calculation will be finalised at checkout
Keywords
- Whittaker vectors
- Representation theory
- Kostant collected papers
- Hamiltonian group actions
- Amitsur-Levitski theorem
- Poisson commutativity
- Toda lattice
- symplectic projective orbits
- McKay correspondence
- Nil Hecke ring
- T-Equivariant K-Theory
- Quantization and Representation Theory
- graded Lie groups
- super Lie groups
About this book
In this third volume of Bertram Kostant's collected papers, the reader will engage in Works published between 1978 and 1990 of 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. Now in the sixth decade of his career, he continues to produce results of astonishing beauty and significance for which he is invited to lecture all over the world. A distinguished feature of this second volume are Kostant's commentaries and summaries of his papers in his own words in addition to commentaries from colleagues.
Authors, Editors and Affiliations
About the editors
Bibliographic Information
Book Title: Collected Papers
Book Subtitle: Volume III 1978–1990
Authors: Bertram Kostant
Editors: Anthony Joseph, Shrawan Kumar, Michèle Vergne
Publisher: Springer New York, NY
Copyright Information: Bertram Kostant 2023
Hardcover ISBN: 978-0-387-09586-8Published: 02 December 2022
Edition Number: 1
Number of Pages: XIX, 703
Number of Illustrations: 43 b/w illustrations