An introduction to noncommutative differential geometry and its physical applications /:
This is an introduction to non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly rev...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
1999.
|
| Ausgabe: | 2nd ed. |
| Schriftenreihe: | London Mathematical Society lecture note series ;
257. |
| Schlagworte: | |
| Online-Zugang: | DE-862 DE-863 |
| Zusammenfassung: | This is an introduction to non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fibre bundles is assumed, making this book accessible to graduate students and newcomers to this field. |
| Beschreibung: | 1 online resource (vi, 321 pages) |
| Bibliographie: | Includes bibliographical references (pages 297-313) and index. |
| ISBN: | 9781107362789 1107362784 9780511569357 0511569351 |
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| id | ZDB-4-EBA-ocn837232433 |
| illustrated | Illustrated |
| indexdate | 2025-03-18T14:21:09Z |
| institution | BVB |
| isbn | 9781107362789 1107362784 9780511569357 0511569351 |
| language | English |
| oclc_num | 837232433 |
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| series | London Mathematical Society lecture note series ; |
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| spelling | Madore, J. http://id.loc.gov/authorities/names/n95019880 An introduction to noncommutative differential geometry and its physical applications / John Madore. 2nd ed. Cambridge [England] ; New York : Cambridge University Press, 1999. 1 online resource (vi, 321 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 257 Includes bibliographical references (pages 297-313) and index. 1. Introduction -- 2. Differential Geometry -- 3. Matrix Geometry -- 4. Noncommutative Geometry -- 5. Vector Bundles -- 6. Cyclic Homology -- 7. Modifications of Space-Time -- 8. Extensions of Space-Time. Print version record. This is an introduction to non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fibre bundles is assumed, making this book accessible to graduate students and newcomers to this field. Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Noncommutative differential geometry. http://id.loc.gov/authorities/subjects/sh97004788 Géométrie algébrique. Géométrie différentielle non commutative. MATHEMATICS Geometry Algebraic. bisacsh Geometry, Algebraic fast Noncommutative differential geometry fast Algebraïsche meetkunde. gtt Differentiaalmeetkunde. gtt Niet-commutatieve structuren. gtt Géométrie algébrique. ram Géométrie différentielle non commutative. ram Print version: Madore, J. Introduction to noncommutative differential geometry and its physical applications. 2nd ed. Cambridge [England] ; New York : Cambridge University Press, 1999 0521659914 (DLC) 99011964 (OCoLC)40632045 London Mathematical Society lecture note series ; 257. http://id.loc.gov/authorities/names/n42015587 |
| spellingShingle | Madore, J. An introduction to noncommutative differential geometry and its physical applications / London Mathematical Society lecture note series ; Introduction -- Differential Geometry -- Matrix Geometry -- Noncommutative Geometry -- Vector Bundles -- Cyclic Homology -- Modifications of Space-Time -- Extensions of Space-Time. Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Noncommutative differential geometry. http://id.loc.gov/authorities/subjects/sh97004788 Géométrie algébrique. Géométrie différentielle non commutative. MATHEMATICS Geometry Algebraic. bisacsh Geometry, Algebraic fast Noncommutative differential geometry fast Algebraïsche meetkunde. gtt Differentiaalmeetkunde. gtt Niet-commutatieve structuren. gtt Géométrie algébrique. ram Géométrie différentielle non commutative. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054140 http://id.loc.gov/authorities/subjects/sh97004788 |
| title | An introduction to noncommutative differential geometry and its physical applications / |
| title_alt | Introduction -- Differential Geometry -- Matrix Geometry -- Noncommutative Geometry -- Vector Bundles -- Cyclic Homology -- Modifications of Space-Time -- Extensions of Space-Time. |
| title_auth | An introduction to noncommutative differential geometry and its physical applications / |
| title_exact_search | An introduction to noncommutative differential geometry and its physical applications / |
| title_full | An introduction to noncommutative differential geometry and its physical applications / John Madore. |
| title_fullStr | An introduction to noncommutative differential geometry and its physical applications / John Madore. |
| title_full_unstemmed | An introduction to noncommutative differential geometry and its physical applications / John Madore. |
| title_short | An introduction to noncommutative differential geometry and its physical applications / |
| title_sort | introduction to noncommutative differential geometry and its physical applications |
| topic | Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Noncommutative differential geometry. http://id.loc.gov/authorities/subjects/sh97004788 Géométrie algébrique. Géométrie différentielle non commutative. MATHEMATICS Geometry Algebraic. bisacsh Geometry, Algebraic fast Noncommutative differential geometry fast Algebraïsche meetkunde. gtt Differentiaalmeetkunde. gtt Niet-commutatieve structuren. gtt Géométrie algébrique. ram Géométrie différentielle non commutative. ram |
| topic_facet | Geometry, Algebraic. Noncommutative differential geometry. Géométrie algébrique. Géométrie différentielle non commutative. MATHEMATICS Geometry Algebraic. Geometry, Algebraic Noncommutative differential geometry Algebraïsche meetkunde. Differentiaalmeetkunde. Niet-commutatieve structuren. |
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