Collected Papers: Volume III 1978-1990

Bertram Kostant's collected papers from 1978 to 1990, spanning various fields of Lie theory, are presented in this third volume. His pioneering works have led to new areas of study and have made Lie theory more significant in mathematics today. Kostant's commentaries and summaries, along with contributions from colleagues, provide valuable insights into his work.

Format: Hardback
Length: 703 pages
Publication date: 02 December 2022
Publisher: Springer-Verlag New York Inc.

Bertram Kostant's collected papers, Volume 3, presents a comprehensive collection of his works published between 1978 and 1990, showcasing his profound contributions to modern Lie theory. Kostant's pioneering papers have had far-reaching consequences, leading to the emergence of numerous new fields of activity. His interests span a wide range of Lie theory, including differential geometry, representation theory, abstract algebra, and mathematical physics. Specific topics covered 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. Kostant, in the sixth decade of his career, continues to produce results of exceptional beauty and significance, earning him invitations to lecture worldwide. A notable feature of this second volume is the inclusion of Kostant's own commentaries and summaries of his papers, along with insightful commentary from his colleagues.

Weight: 1540g
Dimension: 254 x 178 (mm)
ISBN-13: 9780387095868
Edition number: 1st ed. 2023