On the surjectivity of the exponential function of solvable Lie groups

Mathematische Nachrichten

Volumn 192, Issue , 1998, Pages 255-267

  Wüstner, Michael ^a  

^a NONE

Author keywords

Exponential function; Solvable Lie groups; Surjectivity

Indexed keywords

EID: 0040427895     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/mana.19981920115     Document Type: Article

References (13)

1. BOURBAKI, N.: Algèbre I, Hermann, Paris, 1970
2. BOURBAKI, N.: Intégration, Chapitres 7 et 8, Hermann, Paris, 1963
3. BOURBAKI, N.: Groupes et Algèbre de Lie, Chapitres 7 et 8, Hermann, Paris, 1975
4. DIXMIER, J.: L'Application Exponentielle dans les Groupes de Lie Résolubles, Bull. Soc. Math. France 85 (1957), 113-121
5. GUILLEMIN, V. and POLLACK, A.: Differential Topology, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1974
6. HILGERT, J. and NEEB, K.-H.: Lie-Gruppen und Lie-Algebren, Vieweg, Braunschweig, 1991
7. HOCHSCHILD, G. P.: Basic Theory of Algebraic Groups and Lie Algebras, Springer-Verlag, New York, Berlin, Heidelberg, 1981
8. HOFMANN, K. H.: A Memo on the Exponential Function and Regular Points, Arch. Math. 59 (1992), 24-37
9. HOFMANN, K. H.: Near-Cartan Algebras and Groups, Seminar Sophus Lie 2 (1992), 135-151
10. HOFMANN, K. H. and LAWSON, J. D.: Divisible Subsemigroups of Lie Groups, J. London Math. Soc. 27 (1983), 427-437
11. HOFMANN, K. H. and MUKHERJEA, A.: On the Density of the Image of the Exponential Function, Math. Ann. 234 (1978), 263-273
12. HOFMANN, K. H. and RUPPERT, W. A. F.: Lie Groups and Subsemigroups with Surjective Exponential Function, Memoirs of the Amer. Math. Soc. 618, Providence, 1997
13. NEEB, K.-H.: On the Closedness and Simple Connectedness of Adjoint and Coadjoint Orbits, Man. Mathematica 82 (1994), 51-65