Collected Papers: Volume V 2001-2015

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 fifth volume of his collected papers includes commentaries and summaries of his work, showcasing his continued production of beautiful and significant results.

Format: Hardback
Length: 332 pages
Publication date: 30 October 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 research. 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. These achievements have earned him invitations to deliver lectures at prestigious institutions worldwide.

This fifth volume (1995-2005) 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 addressed fundamental problems, leading to the development of new theories and techniques. Some of his notable contributions include the Kostant-Singer theorem, the Kostant-Rosenberg theorem, and the Kostant-Tate conjecture. These results have profound implications in different areas of mathematics, including differential geometry, representation theory, algebraic geometry, and mathematical physics.

Kostant's work has not only impacted the field of Lie theory but has also had a broader influence. His ideas have inspired researchers in other areas, such as mathematical physics, string theory, and quantum field theory. His contributions have played a crucial role in shaping our understanding of complex mathematical structures and their applications.

Bertram Kostant's legacy as a distinguished architect of modern Lie theory is evident in the profound impact his work has had on mathematics. His dedication to research, combined with his innovative ideas, has contributed to the advancement of the field and opened up new avenues for exploration. The fifth volume of his collected papers serves as a testament to his lasting contributions and continues to inspire future generations of mathematicians.

In conclusion, Bertram Kostant's remarkable career in Lie theory has left an indelible mark on the field. His pioneering work, characterized by deep insights and far-reaching consequences, has sparked the creation of numerous new areas of research. Kostant's interests span a vast spectrum of Lie theory, and his contributions have had a profound impact on mathematics and beyond. The fifth volume of his collected papers serves as a testament to his lasting contributions and continues to inspire future generations of mathematicians.

Weight: 1216g
Dimension: 254 x 178 (mm)
ISBN-13: 9780387095905
Edition number: 1st ed. 2023