N. Th. Varopoulos

Potential Theory and Geometry on Lie Groups

• Gebundenes Buch

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 626
• Erscheinungstermin: 15. September 2020
• Englisch
• Abmessung: 235mm x 157mm x 41mm
• Gewicht: 1155g
• ISBN-13: 9781107036499
• ISBN-10: 1107036496
• Artikelnr.: 56712785

Autorenporträt

N. Th. Varopoulos was for many years a professor at Université de Paris VI. He is a member of the Institut Universitaire de France.

Inhaltsangabe

Preface
1. Introduction
Part I. The Analytic and Algebraic Classification: 2. The classification and the first main theorem
3. NC-groups
4. The B-NB classification
5. NB-groups
6. Other classes of locally compact groups
Appendix A. Semisimple groups and the Iwasawa decomposition
Appendix B. The characterisation of NB-algebras
Appendix C. The structure of NB-groups
Appendix D. Invariant differential operators and their diffusion kernels
Appendix E. Additional results. Alternative proofs and prospects
Part II. The Geometric Theory: 7. The geometric theory. An introduction
8. The geometric NC-theorem
9. Algebra and geometries on C-groups
10. The end game in the C-theorem
11. The metric classification
Appendix F. Retracts on general NB-groups (not necessarily simply connected)
Part III. Homology Theory: 12. The homotopy and homology classification of connected Lie groups
13. The polynomial homology for simply connected soluble groups
14. Cohomology on Lie groups
Appendix G. Discrete groups
Epilogue
References
Index.