On subsemigroups of semisimple Lie groups

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1. [1] B. Bonnard, V. Jurdjevic, I. Kupka and G. Sallet, Transitivity of families of invariant vector fields on the semi-direct products of Lie groups, Trans. Amer. Math. Soc., 1981. Zbl0519.49023
2. [2] N. Bourbaki, Groupes et algèbres de Lie, Fasc. XXXVIII, chap. 7-8, Hermann, Paris, 1975. Zbl0329.17002MR453824
3. [3] R. El Assoudi,Accessibilité par des champs de vecteurs invariants à droite sur un groupe de Lie, Thèse de doctorat de l'Université Joseph Fourier, Grenoble, 1991. 
4. [4] R. El Assoudi and J.P. Gauthier, Controllability of right invariant systems on real simple Lie groups of type F4, G2, Bn and Cn, Math. on Control signals systems, Vol. 1, 1988, pp. 293-301. Zbl0672.93009MR961799
5. [5] J.P. Gauthier and G. Bornard, Controllabilité des systèmes bilinéaires, SIAM Journal on Control and Optimization, Vol. 20, (3), 1982, pp. 377-384. Zbl0579.93005MR652214
6. [6] J.P. Gauthier, I. Kupka and G. Sallet, Controllability of right invariant systems on real simple Lie groups, Systems and control Letters, Vol. 5, 1984, pp. 187-190. Zbl0552.93010MR777851
7. [7] S. Helgason, Differential geometry and symmetric spaces, Academic press, New York, 1962. Zbl0111.18101MR145455
8. [8] J. Hilgert, Max. semigroups and controllability in products of Lie Groups, Archiv der Math., Vol. 49, 1987, pp. 189-195. Zbl0649.22003MR906732
9. [9] J. Hilgert, K. Hoffman and J.D. Lawson, Controllability of systems on a nilpotent Lie Group, Beiträge Alg. Geom., Vol. 30, 1985, pp. 185-190. Zbl0579.22010MR803388
10. [10] J. Hilgert, K. Hoffman and J.D. Lawson, Lie theory of semigroups, Technische HochschuleDarmstadt, Preprint, 1987. 
11. [11] A. Joseph, The minimal orbit in a simple Lie algebra and its associated maximal ideal, Ann. Sc. de l'École Normale Sup., 4e série, Vol. 9 (1), 1976, pp. 1-29. Zbl0346.17008MR404366
12. [12] V. Jurdjevic and I. Kupka, Controllability of right invariant systems on semi-simple Lie-Groups and their homogeneous spaces, Ann. Inst. Fourier, Grenoble, Vol. 31 (4), 1981, pp. 151-179. Zbl0453.93011
13. [13] M. Kuranishi, On everywhere dense imbedding of free groups in Lie groups, Nagoya Math. Journal, Vol. 2, 1951, pp. 63-71. Zbl0045.31003MR41145
14. [14] J.D. Lawson, Maximal subsemigroups of Lie Groups that are total, Proc. of Edimborough Math. Soc., Vol. 30, 1987, pp. 479-501. Zbl0649.22004MR908455
15. [15] F.S. Leite, P.E. Crouch, Controllability on classical Lie Groups, Math. on Control, signals, systems, Vol. 1, 1988, pp. 31-42. Zbl0658.93013MR923274
16. [16] G. Warner, Harmonic analysis on semi-simple Lie groups 1, Springer-Verlag, Berlin, 1972. Zbl0265.22020

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