Collected Papers: Volume IV 1991-2000

Bertram Kostant is a prominent figure in modern Lie theory, with pioneering papers spanning various fields. His work has led to new areas of study and has significantly increased the role of Lie theory in mathematics. This fourth volume of his collected papers includes commentaries and summaries by Kostant himself.

Format: Hardback
Length: 622 pages
Publication date: 03 December 2022
Publisher: Springer-Verlag New York Inc.

Bertram Kostant, a renowned mathematician, has been a pivotal figure in modern Lie theory for over five decades. His extensive contributions have left an indelible mark on the field, spanning various areas such as differential geometry, representation theory, abstract algebra, and mathematical physics. Kostant's work has given rise to numerous new fields of study and has had a profound impact on the development of mathematics. His interests include 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 many more. It is remarkable to observe that Lie theory, and symmetry in general, has gained significant importance in mathematics since the 1950s. During his tenure as a professor at the Massachusetts Institute of Technology from 1962 to 1993, Kostant was elected to prestigious organizations such as the National Academy of Sciences USA, the American Academy of Arts and Sciences, and the AMS Steele Prize. He has also received honorary doctorates from various universities, including the University of Cordoba in Argentina and the University of Salamanca in Spain. In the sixth decade of his career, Kostant continues to produce groundbreaking results that are celebrated worldwide. This fourth volume (1991-2000) of a five-volume set of Kostant's collected papers is a testament to his enduring legacy. One notable feature of this volume is Kostant's commentary and summaries of his papers in his own words, providing valuable insights into his thought process and the significance of his work. Kostant's contributions have shaped the direction of Lie theory and have had a lasting impact on the development of mathematics. His work has inspired generations of mathematicians and has played a crucial role in advancing our understanding of the fundamental principles of the field. Despite his retirement from teaching in 1993, Kostant remains actively involved in research and continues to make significant contributions to the field. His work has been recognized with numerous awards and honors, including the National Medal of Science, the Wolf Prize in Mathematics, and the Abel Prize. Kostant's legacy will continue to inspire and shape the future of mathematics for many years to come.

Weight: 1391g
Dimension: 254 x 178 (mm)
ISBN-13: 9780387095882
Edition number: 1st ed. 2023