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.
| ISBN: | 9780521090278 |
| Publication date: | 20th November 2008 |
| Author: | Andy R Magid |
| Publisher: | Cambridge University Press |
| Format: | Paperback |
| Pagination: | 148 pages |
| Series: | Cambridge Tracts in Mathematics |
| Genres: |
Algebra |
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.
Module Categories of Analytic Groups features in the following genres: Algebra
Module Categories of Analytic Groups is available in Paperback, Hardback
Module Categories of Analytic Groups was written by Andy R Magid and published by Cambridge University Press
Module Categories of Analytic Groups has 148 pages
Yes it is part of Cambridge Tracts in Mathematics series