On subsemigroups of semisimple Lie groups
Annales de l'I.H.P. Analyse non linéaire, Tome 13 (1996) no. 1, pp. 117-133.
@article{AIHPC_1996__13_1_117_0,
     author = {El Assoudi, R. and Gauthier, J. P. and Kupka, I. A. K.},
     title = {On subsemigroups of semisimple {Lie} groups},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {117--133},
     publisher = {Gauthier-Villars},
     volume = {13},
     number = {1},
     year = {1996},
     mrnumber = {1373474},
     zbl = {0848.93006},
     language = {en},
     url = {http://www.numdam.org/item/AIHPC_1996__13_1_117_0/}
}
TY  - JOUR
AU  - El Assoudi, R.
AU  - Gauthier, J. P.
AU  - Kupka, I. A. K.
TI  - On subsemigroups of semisimple Lie groups
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 1996
SP  - 117
EP  - 133
VL  - 13
IS  - 1
PB  - Gauthier-Villars
UR  - http://www.numdam.org/item/AIHPC_1996__13_1_117_0/
LA  - en
ID  - AIHPC_1996__13_1_117_0
ER  - 
%0 Journal Article
%A El Assoudi, R.
%A Gauthier, J. P.
%A Kupka, I. A. K.
%T On subsemigroups of semisimple Lie groups
%J Annales de l'I.H.P. Analyse non linéaire
%D 1996
%P 117-133
%V 13
%N 1
%I Gauthier-Villars
%U http://www.numdam.org/item/AIHPC_1996__13_1_117_0/
%G en
%F AIHPC_1996__13_1_117_0
El Assoudi, R.; Gauthier, J. P.; Kupka, I. A. K. On subsemigroups of semisimple Lie groups. Annales de l'I.H.P. Analyse non linéaire, Tome 13 (1996) no. 1, pp. 117-133. http://www.numdam.org/item/AIHPC_1996__13_1_117_0/

[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. | Zbl

[2] N. Bourbaki, Groupes et algèbres de Lie, Fasc. XXXVIII, chap. 7-8, Hermann, Paris, 1975. | MR

[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] 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. | MR | Zbl

[5] J.P. Gauthier and G. Bornard, Controllabilité des systèmes bilinéaires, SIAM Journal on Control and Optimization, Vol. 20, (3), 1982, pp. 377-384. | MR | Zbl

[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. | MR | Zbl

[7] S. Helgason, Differential geometry and symmetric spaces, Academic press, New York, 1962. | MR | Zbl

[8] J. Hilgert, Max. semigroups and controllability in products of Lie Groups, Archiv der Math., Vol. 49, 1987, pp. 189-195. | MR | Zbl

[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. | MR | Zbl

[10] J. Hilgert, K. Hoffman and J.D. Lawson, Lie theory of semigroups, Technische Hochschule Darmstadt, Preprint, 1987.

[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. | Numdam | MR | Zbl

[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. | Numdam | Zbl

[13] M. Kuranishi, On everywhere dense imbedding of free groups in Lie groups, Nagoya Math. Journal, Vol. 2, 1951, pp. 63-71. | MR | Zbl

[14] J.D. Lawson, Maximal subsemigroups of Lie Groups that are total, Proc. of Edimborough Math. Soc., Vol. 30, 1987, pp. 479-501. | MR | Zbl

[15] F.S. Leite, P.E. Crouch, Controllability on classical Lie Groups, Math. on Control, signals, systems, Vol. 1, 1988, pp. 31-42. | MR | Zbl

[16] G. Warner, Harmonic analysis on semi-simple Lie groups 1, Springer-Verlag, Berlin, 1972. | Zbl