Collected papers
著者
書誌事項
Collected papers
Springer, c2023
- v. 2
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注記
Vol. 2: 1967-1977
Includes bibliographical references
内容説明・目次
内容説明
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. 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 second volume (1965-1975) of a five-volume set of Bertram Kostant's collected papers. A distinguished feature of this second volume is Kostant's commentaries and summaries of his papers in his own words.
目次
A Homomorphism in Exterior Algebra (with Novikoff, A.).- Quantization and Representation of Solvable Lie Groups (with Auslander, L.).- On Orbits Associated with Symmetric Spaces (with Rallis, S.).- On Representations Associated with Symmetric Spaces (with Rallis, S.).- On the Existence and Irreducibility of Certain Series of Representations.- On Certain Unitary Representations which arise from a Quantization Theory.- Orbits and Quantization Theory.- Quantization and Unitary Representations.- Orbits and Representations Associated with Symmetric Spaces (with Rallis, S.).- Polarization and Unitary Representations of Solvable Lie Groups (with Auslander, L.).- Line Bundles and the Prequantized Schroedinger Equation.- On Convexity, the Weyl Group and the Iwasawa Decomposition.- Symplectic Spinors.- Verma Modules and the Existence of Quasi-Invariant Differential Operators.- On the Existence and Irreducibility of Certain Series of Representations. On the Tensor Product of a Finite and an Infinite-Dimensional Representation.- On the Definition of Quantization.- The Euler Characteristic of an Affine Space Form is Zero (with Sullivan, D.).- On Macdonald's -Function Formula, the Laplacian and Generalized Exponents.- On the Structure of Certain Subalgebras of a Universal Enveloping Algebra (with Tirao, J.).- Graded Manifolds, Graded Lie Theory, and Prequantization.- Comments on Papers in Volume II.
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