Collected Papers of Bertram Kostant

Volume II 1967-1978
 Book
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
ISBN-13:
9780387095844
Veröffentl:
2022
Einband:
Book
Erscheinungsdatum:
01.12.2022
Seiten:
788
Autor:
Bertram Kostant
Gewicht:
1670 g
Format:
260x184x49 mm
Sprache:
Englisch
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. 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.
Kostant is an architect of modern Lie theory and his mathematics interests span a huge range
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 Schrödinger 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.
For more than five decades Bertram Kostant has been a major architect of modern Lie theory. This second volume of a five-volume set of his collected papers spans 1965 to 1975, and includes Kostant's commentaries and summaries of his papers in his own words.

Kunden Rezensionen

Zu diesem Artikel ist noch keine Rezension vorhanden.
Helfen sie anderen Besuchern und verfassen Sie selbst eine Rezension.

Google Plus
Powered by Inooga