Potential Theory and Geometry on Lie Groups (Record no. 60258)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02235 a2200241 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240614b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781107036499 (HB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 512.81 |
| Item number | VAR |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Varopoulos, N. Th. |
| 245 ## - TITLE STATEMENT | |
| Title | Potential Theory and Geometry on Lie Groups |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Cambridge University Press |
| Year of publication | 2024 |
| Place of publication | Cambridge |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xxvii, 596p. |
| 490 ## - SERIES STATEMENT | |
| Series statement | New Mathematical Monographs |
| Volume number/sequential designation | 38 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes References (585-588) and Index |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Introduction<br/> 2. The classification and the first main theorem<br/> 3. NC-groups <br/> 4. The B-NB classification <br/> 5. NB-Groups <br/> 6. Other classes of locally compact groups <br/> 7. The geometric theory. An introduction <br/> 8. The geometric NC-theorem <br/> 9. Algebra and geometries on C-groups <br/> 10. The end game in the C-theorem <br/> 11. The metric classification <br/> 12. The homotopy and homology classification of connected Lie groups <br/> 13. The polynomial homology for simply connected soluble groups <br/> 14. Cohomology on Lie groups |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 classification are equivalent. Part II covers geometric theory of the same classification and a proof that it is equivalent to the algebraic approach. Part III is a new approach to the geometric classification that requires more advanced geometric technology, namely homotopy, homology and the theory of currents. Using these methods, a more direct, but also more sophisticated, approach to the equivalence of the geometric and algebraic classification is made. Background material is introduced gradually to familiarise readers with ideas from areas such as Lie groups, differential topology and probability, in particular, random walks on groups. Numerous open problems inspire students to explore further. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Lie groups |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebraic Groups |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Representation theory |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Shelving location | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|
| IMSc Library | First Floor, Rack No: 30, Shelf No: 25 | 512.81 VAR | 78041 | BOOKS |