Overview
- Kostant is one of the leading architects of modern Lie theory
- Kostant’s work spans over 50 years, with his fundamental and varied contributions to many aspects of Lie theory, a subject pervading almost the whole of mathematics
- His interests span a tremendous range from differential geometry to representation theory, abstract algebra and mathematical physics
- Kostant’s papers demonstrate deep results, giving rise to whole new fields of activities.
- Volume I contains Kostant’s summaries of his papers in his own words.
- Volume I develops beautiful themes which are further elaborated in Volumes II-V
- Includes supplementary material: sn.pub/extras
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Table of contents (21 chapters)
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Front Matter
Keywords
About this book
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.
Authors, Editors and Affiliations
Bibliographic Information
Book Title: Collected Papers
Book Subtitle: Volume I 1955-1966
Authors: Bertram Kostant
Editors: Anthony Joseph, Shrawan Kumar, Michèle Vergne
DOI: https://doi.org/10.1007/b94535
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Science+Business Media, LLC, part of Springer Nature 2009
eBook ISBN: 978-0-387-09583-7Published: 15 August 2009
Edition Number: 1
Number of Pages: XX, 518
Number of Illustrations: 1 b/w illustrations
Topics: Algebra, Topological Groups, Lie Groups, Mathematical Methods in Physics, Differential Geometry