Collected Papers: Volume I 1955-1966 by Bertram Kostant (auth.), Anthony Joseph, Shrawan Kumar,

By Bertram Kostant (auth.), Anthony Joseph, Shrawan Kumar, Michèle Vergne (eds.)

For greater than 5 a long time Bertram Kostant has been one of many significant architects of recent Lie idea. almost all his papers are pioneering with deep results, many giving upward thrust to complete new fields of actions. His pursuits span an immense diversity of Lie idea, from differential geometry to illustration idea, summary algebra, and mathematical physics. a few particular issues conceal algebraic teams and invariant thought, the geometry of homogeneous areas, illustration concept, geometric quantization and symplectic geometry, Lie algebra cohomology, Hamiltonian mechanics, modular varieties, Whittaker concept, Toda lattice, and masses extra. it's amazing to notice that Lie concept (and symmetry quite often) now occupies an ever expanding greater function in arithmetic than it did within the fifties.

This is the 1st quantity (1955-1966) of a five-volume set of Bertram Kostant’s accumulated papers. A wonderful characteristic of this primary quantity is Kostant’s commentaries and summaries of his papers in his personal words.

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1007/b94535_5, © Bertram Kostant 2009 32 33 34 35 B. 1007/b94535_6, © Bertram Kostant 2009 36 37 38 39 Reprinted from NAGOYA MATHEMATICAL JOURNAL Vol. 12, December, 1957 pp. 31-54 B.

1007/b94535_2, © Bertram Kostant 2009 16 17 18 19 Accepted for publication PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES 1955 B. 1007/b94535_3, © Bertram Kostant 2009 20 21 22 23 24 25 26 27 B. 1007/b94535_4, © Bertram Kostant 2009 28 29 30 31 B. 1007/b94535_5, © Bertram Kostant 2009 32 33 34 35 B. 1007/b94535_6, © Bertram Kostant 2009 36 37 38 39 Reprinted from NAGOYA MATHEMATICAL JOURNAL Vol. 12, December, 1957 pp. 31-54 B.

1007/b94535_2, © Bertram Kostant 2009 16 17 18 19 Accepted for publication PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES 1955 B. 1007/b94535_3, © Bertram Kostant 2009 20 21 22 23 24 25 26 27 B. 1007/b94535_4, © Bertram Kostant 2009 28 29 30 31 B. 1007/b94535_5, © Bertram Kostant 2009 32 33 34 35 B. 1007/b94535_6, © Bertram Kostant 2009 36 37 38 39 Reprinted from NAGOYA MATHEMATICAL JOURNAL Vol. 12, December, 1957 pp. 31-54 B.

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