Splittable Lie groups and Lie algebras

Journal of Algebra

Volumn 226, Issue 1, 2000, Pages 202-215

  Wüstner, Michael ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Exponential function; Mal'cev splittable Lie groups and Lie algebras; Splittable Lie groups and Lie algebras

Indexed keywords

EID: 0034165342     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1999.8162     Document Type: Article

References (10)

1. Auslander L., Brezin J. Almost algebraic Lie algebras. J. Algebra. 8:1968;295-313.
2. Bourbaki N. Chapitre VII. Groupes et algèbres de Lie. 1973;Hermann, Paris.
3. Hofmann K. H. A memo on the exponential function and regular points. Arch. Math. Basel. 59:1992;24-37.
4. Hofmann K. H., Ruppert W. A. F. Lie groups and Subsemigroups with Surjective Exponential Function. Mem. Amer. Math. Soc. 618:1997.
5. Mal'cev I. A. On solvable Lie algebras. Izv. Akad. Nauk SSSR Ser. Mat. 9:1945;329-356.
6. Neeb K.-H. On closedness and simply connectedness of adjoint and coadjoint orbits. Man. Math. 82:1994;51-65.
7. Neeb K.-H. Weakly exponential Lie groups. J. Algebra. 179:1996;331-361.
8. Wüstner M. On the surjectivity of the exponential function of complex algebraic, complex semisimple, and complex splittable Lie groups. J. Algebra. 184:1996;1082-1092.
9. Wüstner M. On the exponential function of real splittable and real semisimple Lie groups. B. Algebra Geom. 39:1998;37-46.
10. Wüstner M. On the surjectivity of the exponential function of solvable Lie groups. Math. Nachr. 192:1998;255-266.