Module categories of analytic groups:
Knowledge of an analytic group implies knowledge of its module category. However complete knowledge of the category does not determine the group. Professor Magid shows here that the category determines another, larger group and an algebra of functions in this new group. The new group and its functio...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1982
|
| Schriftenreihe: | Cambridge tracts in mathematics
81 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | Knowledge of an analytic group implies knowledge of its module category. However complete knowledge of the category does not determine the group. Professor Magid shows here that the category determines another, larger group and an algebra of functions in this new group. The new group and its function algebra are completely described; this description thus tells everything that is known when the module category, as a category, is given. This categorical view brings together and highlights the significance of earlier work in this area by several authors, as well as yielding new results. By including many examples and computations Professor Magid has written a complete account of the subject that is accessible to a wide audience. Graduate students and professionals who have some knowledge of algebraic groups, Lie groups and Lie algebras will find this a useful and interesting text |
| Beschreibung: | 1 Online-Ressource (x, 134 Seiten) |
| ISBN: | 9780511897177 |
| DOI: | 10.1017/CBO9780511897177 |
Internformat
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| 520 | |a Knowledge of an analytic group implies knowledge of its module category. However complete knowledge of the category does not determine the group. Professor Magid shows here that the category determines another, larger group and an algebra of functions in this new group. The new group and its function algebra are completely described; this description thus tells everything that is known when the module category, as a category, is given. This categorical view brings together and highlights the significance of earlier work in this area by several authors, as well as yielding new results. By including many examples and computations Professor Magid has written a complete account of the subject that is accessible to a wide audience. Graduate students and professionals who have some knowledge of algebraic groups, Lie groups and Lie algebras will find this a useful and interesting text | ||
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511897177 |
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| institution | BVB |
| isbn | 9780511897177 |
| language | English |
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| publishDate | 1982 |
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| spelling | Magid, Andy R. 1944- Verfasser (DE-588)172245680 aut Module categories of analytic groups Andy R. Magid Cambridge Cambridge University Press 1982 1 Online-Ressource (x, 134 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 81 Knowledge of an analytic group implies knowledge of its module category. However complete knowledge of the category does not determine the group. Professor Magid shows here that the category determines another, larger group and an algebra of functions in this new group. The new group and its function algebra are completely described; this description thus tells everything that is known when the module category, as a category, is given. This categorical view brings together and highlights the significance of earlier work in this area by several authors, as well as yielding new results. By including many examples and computations Professor Magid has written a complete account of the subject that is accessible to a wide audience. Graduate students and professionals who have some knowledge of algebraic groups, Lie groups and Lie algebras will find this a useful and interesting text Lie groups Modules (Algebra) Categories (Mathematics) Analytische Gruppe (DE-588)4513878-3 gnd rswk-swf Modulkategorie (DE-588)4170335-2 gnd rswk-swf Analytische Gruppe (DE-588)4513878-3 s Modulkategorie (DE-588)4170335-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-24200-4 Erscheint auch als Druck-Ausgabe 978-0-521-09027-8 https://doi.org/10.1017/CBO9780511897177 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Magid, Andy R. 1944- Module categories of analytic groups Lie groups Modules (Algebra) Categories (Mathematics) Analytische Gruppe (DE-588)4513878-3 gnd Modulkategorie (DE-588)4170335-2 gnd |
| subject_GND | (DE-588)4513878-3 (DE-588)4170335-2 |
| title | Module categories of analytic groups |
| title_auth | Module categories of analytic groups |
| title_exact_search | Module categories of analytic groups |
| title_full | Module categories of analytic groups Andy R. Magid |
| title_fullStr | Module categories of analytic groups Andy R. Magid |
| title_full_unstemmed | Module categories of analytic groups Andy R. Magid |
| title_short | Module categories of analytic groups |
| title_sort | module categories of analytic groups |
| topic | Lie groups Modules (Algebra) Categories (Mathematics) Analytische Gruppe (DE-588)4513878-3 gnd Modulkategorie (DE-588)4170335-2 gnd |
| topic_facet | Lie groups Modules (Algebra) Categories (Mathematics) Analytische Gruppe Modulkategorie |
| url | https://doi.org/10.1017/CBO9780511897177 |
| work_keys_str_mv | AT magidandyr modulecategoriesofanalyticgroups |