Scale functions on linear groups over local skew fields

Journal of Algebra

Volumn 205, Issue 2, 1998, Pages 525-541

  Glöckner, Helge ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010066562     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1997.7409     Document Type: Article

References (22)

1. E. Artin, "Geometric Algebra," Interscience, New York, 1957.
2. E. Artin, "Algebraic Numbers and Algebraic Functions," Gordon & Breach, New York, 1967.
3. N. Bourbaki, "Intégration," Chap. 7, Hermann, Paris, 1963.
4. P. M. Cohn, "Algebra," Vol. 2, Wiley, New York, 1989.
5. P. M. Cohn, "Algebra," Vol. 3, Wiley, New York, 1991.
6. J. A. Dieudonné, "La Géometrie des Groupes Classiques," Springer-Verlag, Berlin, 1971.
7. P. K. Draxl, "Skew Fields," Cambridge Univ. Press, Cambridge, UK, 1983.
8. H. Glöckner, "Zum Isomorphieproblem linearer Gruppen über lokalen Körpern," Diplomarbeit, TH Darmstadt, 1995.
9. H. Glöckner, Haar measure on linear groups over local skew fields, J. Lie Theory 6 (1996), 165-177.
10. H. Glöckner, Scale functions on p-adic Lie groups, submitted for publication.
11. L. K. Hua and C. H. Wan, On the automorphisms and isomorphisms of linear groups, J. Chinese Math. Soc. 2 (1953), 1-32.
12. K. H. Hofmann and A. Mukherjea, Concentration functions and a class of non-compact groups, Math. Ann. 256 (1981), 535-548.
13. N. Jacobson, "Basic Algebra 2," Freeman, New York, 1989.
14. W. Jaworski, Contractive automorphisms of locally compact groups and the concentration function problem, J. Theoret. Probab. 10 (1997), 967-990.
15. W. Jaworski, On shifted convolution powers of a probability measure on a locally compact group, to appear.
16. W. Jaworski, J. M. Rosenblatt, and G. Willis, Concentration functions in locally compact groups, Math. Ann. 305 (1996), 673-691.
17. H. Ren, Z. Wan, and X. Wu, Isomorphisms of linear groups over skew fields, Contemp. Math. 82 (1989), 115-126.
18. O. Schreier and B. L. van der Waerden, Die Automorphismen der projektiven Gruppen, Abh. Math. Sem. Hamburg. Univ. 6 (1928), 303-322.
19. J.-P. Serre, "Lie Algebras and Lie Groups," Springer-Verlag, Berlin, 1992.
20. A. Weil, "Basic Number Theory," Springer-Verlag, Berlin, 1967.
21. G. Willis, The structure of totally disconnected, locally compact groups, Math. Ann. 300 (1994), 341-363.
22. G. Willis, Totally disconnected groups and proofs of conjectures of Hofmann and Mukherjea, Bull. Austral. Math. Soc. 51 (1995), 489-494.