Collected Papers
Volume V 2001–2015
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Beschreibung
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 fifth volume (2001-2015) of a five-volume set of Bertram Kostant's collected papers.
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. 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 fifthvolume (2001-2015) of a five-volume set of Bertram Kostant's collected papers.
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
Autor*in
Bertram Kostant
Themen in »Collected Papers«
semisimple Lie group E8 Lie superalgebra Coxeter element minimal coadjoint orbits Gelfand-Zeitlin theory finite subgroups E8 Maxwell's equations nilradical Borel subgroup