Collected Papers
Volume III 1978–1990
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Beschreibung
In this third volume of Bertram Kostant's collected papers, the reader will engage in Works published between 1978 and 1990 of 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. A distinguished feature of this second volume are Kostant's commentaries and summaries of his papers in his own words in addition to commentaries from colleagues.
In this third volume of Bertram Kostant's collected papers, the reader will engage in Works published between 1978 and 1990 of 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. A distinguished feature of this second volume are Kostant's commentaries and summaries of his papers in his own words in addition to commentaries from colleagues.
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«
Whittaker vectors Representation theory Kostant collected papers Hamiltonian group actions Amitsur-Levitski theorem Poisson commutativity Toda lattice symplectic projective orbits McKay correspondence Nil Hecke ring T-Equivariant K-Theory Quantization and Representation Theory graded Lie groups super Lie groups