@article{ASENS_1973_4_6_4_413_0, author = {Kostant, Bertram}, title = {On convexity, the Weyl group and the Iwasawa decomposition}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {6}, year = {1973}, pages = {413-455}, doi = {10.24033/asens.1254}, mrnumber = {51 \#806}, zbl = {0293.22019}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_1973_4_6_4_413_0} }
Kostant, Bertram. On convexity, the Weyl group and the Iwasawa decomposition. Annales scientifiques de l'École Normale Supérieure, Tome 6 (1973) pp. 413-455. doi : 10.24033/asens.1254. http://gdmltest.u-ga.fr/item/ASENS_1973_4_6_4_413_0/
[1] On root systems and an infinitesmal classification of irreducible symmetric spaces (J. of Math, Osaka City Univ., vol. 13, 1962, p. 1-34). | MR 27 #3743 | Zbl 0123.03002
,[2] Differential Geometry and Symmetric Spaces, Academic Press, New-York, 1962. | MR 26 #2986 | Zbl 0111.18101
,[3] Doubly stockastic matrices and the diagonal of a rotation matrix (Amer. J. Math, vol. 76, 1954, p. 620-630). | MR 16,105c | Zbl 0055.24601
,[4] Introduction to Lie algebras and representation theory, Springer-Verlag, 1972. | MR 48 #2197 | Zbl 0254.17004
,[5] On Cartan subalgebras of a Lie algebra, Kodai Math Seminar Report, N° 3, 1950, p. 51-60. | MR 12,585c | Zbl 0045.01102
and ,[6] The principal three dimensional subgroups and the Betti numbers of a complex semi-simple Lie group (Amer. J. Math., vol. 81, 1959, p. 973-1032). | MR 22 #5693 | Zbl 0099.25603
,[7] Lie group representations on polynomial rings (Amer. J. Math., vol. 86, 1963, p. 327-402). | MR 28 #1252 | Zbl 0124.26802
,[8] Orbits and representations associated with symmetric spaces (Amer. J. Math., vol. 93, 1971, p. 753-809). | MR 47 #399 | Zbl 0224.22013
and ,[9] Generalization of the Golden-Thompson Inequality, Tr eA eB tr eA+B (Indiana Univ. Math. J., vol. 21, 1971, p. 457-467). | MR 44 #6724 | Zbl 0215.08606
,[10] Symmetric Spaces, I. General Theory, Benjamin, 1969. | MR 39 #365a | Zbl 0175.48601
,[11] Some new decomposition theorem for semi-simple Lie groups (Memoirs of the A. M. S., N° 14, 1955). | MR 16,1087g | Zbl 0064.25901
,[12] Classification de Groupes de Lie algebriques, (Séminaire C. Chevalley, 1956-1958, vol. I).
[13] Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras (J. Math Soc., vol. 11, 1959, p. 374-434). | MR 26 #3827 | Zbl 0204.04201
,[14] Inequalities and partial orders on matrix spaces (Indiana Univ. Math. J., vol. 21, 1971, p. 469-480). | MR 45 #3442 | Zbl 0227.15005
,[15] Foundations of Differential Manifolds and Lie Groups, Scott, Foresman and Company. | Zbl 0241.58001
,[16] On the eigenvalues of a matrix with prescribed singular values, Proceedings of the Amer. Math. Soc., vol. 5, 1954, p. 4-7. | MR 15,847d | Zbl 0055.00908
,