Collected Papers: Volume II 1967-1977

Bertram Kostant is a renowned architect of modern Lie theory, with his papers having profound consequences and leading to new fields of activity. He has a wide range of interests in Lie theory, from differential geometry to representation theory, abstract algebra, and mathematical physics. This is the second volume of a five-volume set of his collected papers, featuring commentaries and summaries of his work in his own words.

Format: Hardback
Length: 788 pages
Publication date: 13 November 2022
Publisher: Springer-Verlag New York Inc.

Bertram Kostant, a renowned figure in modern Lie theory, has left an indelible mark on the field for over five decades. His extensive body of work, characterized by groundbreaking insights and far-reaching consequences, has sparked the creation of numerous new areas of study. Kostant's interests span a vast spectrum of Lie theory, encompassing differential geometry, representation theory, abstract algebra, and mathematical physics. It is remarkable to observe how Lie theory, and symmetry in general, has gained increasing prominence in mathematics compared to the past. At the age of sixty, Kostant remains a prolific researcher, consistently delivering results of breathtaking beauty and profound significance. His expertise has earned him invitations to lecture at prestigious institutions worldwide.

This second volume (1965-1975) of a five-volume set presents a collection of Bertram Kostant's distinguished papers. Notably, this volume includes Kostant's own commentaries and summaries, providing a unique perspective on his work.

Throughout his career, Kostant has made groundbreaking contributions to various branches of Lie theory. His papers have explored the interplay between different mathematical disciplines, blurring the boundaries between them. For instance, his work in differential geometry has shed light on the connections between Lie groups and geometric structures, while his contributions to representation theory have opened up new avenues for studying quantum mechanics.

Kostant's influence extends beyond Lie theory itself. His ideas have had a profound impact on other areas of mathematics, such as mathematical physics and number theory. His work on the representation theory of quantum groups has played a crucial role in understanding the structure of quantum mechanics, while his contributions to the theory of modular forms have deepened our understanding of number theory.

In addition to his scientific achievements, Bertram Kostant is known for his exceptional teaching abilities. He has mentored numerous students and postdoctoral fellows, fostering a generation of talented mathematicians. His dedication to education and his ability to convey complex ideas in a clear and accessible manner have made him a beloved figure in the mathematical community.

As we conclude this second volume of Kostant's collected papers, we are left in awe of his profound contributions to modern Lie theory. His work has not only advanced our understanding of mathematical structures but has also had a significant impact on other fields of science and engineering. We eagerly anticipate the release of the remaining volumes in this remarkable series, which will further showcase the brilliance of Bertram Kostant's mathematical legacy.

Weight: 1676g
Dimension: 187 x 264 x 52 (mm)
ISBN-13: 9780387095844
Edition number: 1st ed. 2023