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Operators and representation theory : canonical models for algebras of operators arising in quantum mechanics /
Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas. This volume focuses on representations of the universal enveloping algebra, covariant representations i...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York : New York, N.Y., U.S.A. :
North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
1988.
|
| Colección: | North-Holland mathematics studies ;
147. Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 120. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
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| 100 | 1 | |a J�rgensen, Palle E. T., |d 1947- | |
| 245 | 1 | 0 | |a Operators and representation theory : |b canonical models for algebras of operators arising in quantum mechanics / |c Palle E.T. Jorgensen. |
| 260 | |a Amsterdam ; |a New York : |b North-Holland ; |a New York, N.Y., U.S.A. : |b Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., |c 1988. | ||
| 300 | |a 1 online resource (viii, 337 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematics studies ; |v 147 | |
| 490 | 1 | |a Notas de matem�atica ; |v 120 | |
| 520 | |a Historically, operator theory and representation theory both originated with the advent of quantum mechanics. The interplay between the subjects has been and still is active in a variety of areas. This volume focuses on representations of the universal enveloping algebra, covariant representations in general, and infinite-dimensional Lie algebras in particular. It also provides new applications of recent results on integrability of finite-dimensional Lie algebras. As a central theme, it is shown that a number of recent developments in operator algebras may be handled in a particularly elegant manner by the use of Lie algebras, extensions, and projective representations. In several cases, this Lie algebraic approach to questions in mathematical physics and C*-algebra theory is new; for example, the Lie algebraic treatment of the spectral theory of curved magnetic field Hamiltonians, the treatment of irrational rotation type algebras, and the Virasoro algebra. Also examined are C*-algebraic methods used (in non-traditional ways) in the study of representations of infinite-dimensional Lie algebras and their extensions, and the methods developed by A. Connes and M.A. Rieffel for the study of the Yang-Mills problem. Cutting across traditional separations between fields of specialization, the book addresses a broad audience of graduate students and researchers. | ||
| 504 | |a Includes bibliographical references (pages 285-329) and index. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Operator algebras. | |
| 650 | 0 | |a Representations of algebras. | |
| 650 | 6 | |a Alg�ebres d'op�erateurs. |0 (CaQQLa)201-0081805 | |
| 650 | 6 | |a Repr�esentations des alg�ebres. |0 (CaQQLa)201-0068113 | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Linear. |2 bisacsh | |
| 650 | 7 | |a Operator algebras. |2 fast |0 (OCoLC)fst01046408 | |
| 650 | 7 | |a Representations of algebras. |2 fast |0 (OCoLC)fst01094934 | |
| 776 | 0 | 8 | |i Print version: |a J�rgensen, Palle E.T., 1947- |t Operators and representation theory. |d Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1988 |z 0444703217 |z 9780444703217 |w (DLC) 87024539 |w (OCoLC)16716232 |
| 830 | 0 | |a North-Holland mathematics studies ; |v 147. | |
| 830 | 0 | |a Notas de matem�atica (Rio de Janeiro, Brazil) ; |v no. 120. | |
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| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=03040208&volume=147 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/147 |z Texto completo |