On compact elements in solvable Lie groups

Michael Wüstner

Colloquium Mathematicae (1998)

  • Volume: 74, Issue: 2, page 275-285
  • ISSN: 0010-1354

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Wüstner, Michael. "On compact elements in solvable Lie groups." Colloquium Mathematicae 74.2 (1998): 275-285. <http://eudml.org/doc/210518>.

@article{Wüstner1998,
author = {Wüstner, Michael},
journal = {Colloquium Mathematicae},
keywords = {real Lie group; solvable Lie groups; compact elements; compactly embedded subalgebras; exponential map; Lie algebra},
language = {eng},
number = {2},
pages = {275-285},
title = {On compact elements in solvable Lie groups},
url = {http://eudml.org/doc/210518},
volume = {74},
year = {1998},
}

TY - JOUR
AU - Wüstner, Michael
TI - On compact elements in solvable Lie groups
JO - Colloquium Mathematicae
PY - 1998
VL - 74
IS - 2
SP - 275
EP - 285
LA - eng
KW - real Lie group; solvable Lie groups; compact elements; compactly embedded subalgebras; exponential map; Lie algebra
UR - http://eudml.org/doc/210518
ER -

References

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  1. [1] D. L. Armacost, The Structure of Locally Compact Abelian Groups, Marcel Dekker, New York, 1981. Zbl0509.22003
  2. [2] L. Auslander, An exposition of the structure of solvmanifolds, Parts I, II, Bull. Amer. Math. Soc. 79 (1973), 227-285. Zbl0265.22016
  3. [3] N. Bourbaki, Groupes et Algèbres de Lie, chapitres VII et VIII, Hermann, Paris, 1975. 
  4. [4] J. Hilgert, K. H. Hofmann, and J. D. Lawson, Lie Groups, Convex Cones and Semigroups, Oxford Math. Monographs, Oxford Univ. Press, 1989. Zbl0701.22001
  5. [5] K. H. Hofmann, A memo on the singularities of the exponential function, Seminar Notes, Technische Hochschule Darmstadt, 1990. 
  6. [6] K. H. Hofmann, Compact elements in solvable real Lie algebras, Sem. Sophus Lie 2 (1992), 41-55. Zbl0857.17007
  7. [7] K. H. Hofmann, Near-Cartan algebras and groups, ibid., 135-151. Zbl0890.17004
  8. [8] K. H. Hofmann, A memo on the exponential function and regular points, Arch. Math. (Basel) 59 (1992), 24-37. Zbl0768.22002
  9. [9] M. Wüstner, An example of a solvable Lie algebra, Sem. Sophus Lie 2 (1992), 57-58. Zbl0857.17008

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