Michele Vergne – författare
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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.
This is the first volume (1955-1966) of a five-volume set of Bertram Kostant’s collected papers. A distinguished feature of this first volume is Kostant’s commentaries and summaries of his papers in his own words.
2 371 kr
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974 kr
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1 941 kr
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1 941 kr
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Weil representation, Maslov index and Theta series
544 kr
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Noncommutative Harmonic Analysis
In Honor of Jacques Carmona
544 kr
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687 kr
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Noncommutative Harmonic Analysis
In Honor of Jacques Carmona
544 kr
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687 kr
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Non-Commutative Harmonic Analysis and Lie Groups
Proceedings of the International Conference Held in Marseille-Luminy, June 24-29, 1985
383 kr
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706 kr
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413 kr
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626 kr
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D-modules, Representation Theory, and Quantum Groups
Lectures given at the 2nd Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held in Venezia, Italy, June 12-20, 1992
491 kr
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840 kr
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The first edition of this book presented simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut), using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive softcover. The first four chapters could be used as the text for a graduate course on the applications of linear elliptic operators in differential geometry and the only prerequisites are a familiarity with basic differential geometry. The next four chapters discuss the equivariant index theorem, and include a useful introduction to equivariant differential forms. The last two chapters give a proof, in the spirit of the book, of Bismut''s Local Family Index Theorem for Dirac operators.