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Collected Papers

Volume IV 1991–2000

  • Book
  • © 2023

Overview

Authors:
  1. Bertram Kostant

    1. Dept. Mathematics, Massachusetts Institute of Technology (MIT), Cambridge, USA

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Editors:
  1. Anthony Joseph

    1. Department of Mathematics, Weizmann Institute, Rehovot, Israel

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  2. Michèle Vergne

    1. Ecole Polytechnique Centre de Mathématiques, Palaiseau Cedex, France

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  3. Shrawan Kumar

    1. University of North Carolina Dept. Mathematics, Chapel Hill, USA

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  • 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

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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.

During his years as professor at the Masachusetts Institute of Technology from 1962 until retiring from teaching in 1993, he was elected to the National Academy of Sciences USA, the American Academy of Arts and Sciences, the AMS Steele Prize, Honorary Doctorates from University of Codoba, Argentina, the University of Salamanca, Spain, Purdue University. 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.

This is the fourth volume (1991-2000) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this fourth volume is Kostant's commentaries and summaries of his papers in his own words.

Authors, Editors and Affiliations

  • Department of Mathematics, Weizmann Institute, Rehovot, Israel

    Anthony Joseph

  • Ecole Polytechnique Centre de Mathématiques, Palaiseau Cedex, France

    Michèle Vergne

  • University of North Carolina Dept. Mathematics, Chapel Hill, USA

    Shrawan Kumar

  • Dept. Mathematics, Massachusetts Institute of Technology (MIT), Cambridge, USA

    Bertram Kostant

About the editors

​Bertram Kostant was Professor Emeritus at MIT. He died on February 2, 2017 at 88 years old. Kostant was of one of the major architects of modern Lie theory and virtually all of his papers are pioneering with deep consequences, many giving rise to whole new fields of activities. His interests spanned a tremendous range of Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. He also had a long standing love affair with the icosahedron. Bertram Kostant was elected to the National Academy of Sciences in 1978, became a Sackler Institute Fellow at Tel Aviv University in 1982, received a medal from the College de France in 1983. In 2012 he became a Fellow of the American Mathematical Society. He was awarded the Steele Prize in 1990 for his paper On the existence and irreducibility of certain series of representations; paper #36 in Volume II of Kostant’s Collected Papers. In 2016 he received the Wigner Medal in Rio de Janeiro. During his mathematical career, Kostant received several honorary doctorates.

Bibliographic Information

  • Book Title: Collected Papers

  • Book Subtitle: Volume IV 1991–2000

  • Authors: Bertram Kostant

  • Editors: Anthony Joseph, Michèle Vergne, Shrawan Kumar

  • Publisher: Springer New York, NY

  • Copyright Information: Bertram Kostant 2023

  • Hardcover ISBN: 978-0-387-09588-2Published: 03 December 2022

  • Edition Number: 1

  • Number of Pages: XX, 622

  • Number of Illustrations: 20 b/w illustrations

  • Topics: Topological Groups, Lie Groups, Mathematical Methods in Physics, Differential Geometry, Algebra

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