The surjectivity question for the exponential function of real Lie groups : A status report

  title={The surjectivity question for the exponential function of real Lie groups : A status report},
  author={Dragomir Ž. D – okovi{\'c} and Karl Heinrich Hofmann},
The present knowledge of the structure of the exponential function of a real Lie group is surveyed. The emphasis is on the image of the exponential function: Which powers of a group element are contained in it, when is it dense, when does it fill the group? Some so far unobserved errors in the literature are pointed out, results are described, and some conjectures are formulated. Mathematics Subject Classification: Primary 22E10, 22E15; Secondary 22– 02, 22E60. 

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 55 references

Contributions to the structure theory of solvable Lie groups

  • M. Wüstner
  • Dissertation (German), Technische Hochschule…
  • 1995
Highly Influential
13 Excerpts

A note on the exponential map of a real or p-adic Lie group

  • L. Corwin, M. Moskowitz
  • J. Pure Appl. Alg
  • 1994
Highly Influential
13 Excerpts

On the density of the image of the exponential function, Math. Ann

  • K. H. Hofmann, A. Mukherjea
  • 1978
Highly Influential
6 Excerpts

Surjectivity of exponential map on semisimple Lie groups

  • Lai, H.-L
  • J. Math. Soc. Japan
  • 1977
Highly Influential
11 Excerpts

Lie Groups and Subsemigroups with Surjective Exponential Function

  • K. H. Hofmann, W.A.F. Ruppert
  • Memoirs Amer. Math. Soc. 1997, iv+174pp.
  • 1997
Highly Influential
5 Excerpts

The surjectivity of the exponential map for certain Lie groups, Ann

  • M. Moskowitz
  • Mat. Pura Appl
  • 1994
Highly Influential
5 Excerpts

Ž., On the exponential map in classical Lie groups

  • D. Djoković
  • J. Algebra
  • 1980
Highly Influential
4 Excerpts

Théorie des groupes de Lie III

  • C. Chevalley
  • Hermann, Paris, 1955.
  • 1955
Highly Influential
5 Excerpts

On some types of topological groups

  • K. Iwasawa
  • Annals of Math
  • 1949
Highly Influential
5 Excerpts

Similar Papers

Loading similar papers…