Potential theory and geometry on Lie groups
This book provides a complete and reasonably self-contained account of a new classification of connected Lie groups into two classes. The first part describes the use of tools from potential theory to establish the classification and to show that the analytic and algebraic approaches to the classifi...
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| Format: | eBook |
| Language: | English |
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Cambridge
Cambridge University Press
2021
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| Series: | New mathematical monographs
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| Online Access: | |
| Collection: | Cambridge Books Online - Collection details see MPG.ReNa |
Table of Contents:
- The classification and the first main theorem
- NC-groups
- The B-NB classification
- NB-Groups
- Other classes of locally compact groups
- The geometric theory. An introduction
- The geometric NC-theorem
- Algebra and geometries on C-groups
- The end game in the C-theorem
- The metric classification
- The homotopy and homology classification of connected Lie groups
- The polynomial homology for simply connected soluble groups
- Cohomology on Lie groups