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Table of contents for this issue | Next article Kostant, Bertram On convexity, the Weyl group and the Iwasawa decomposition. Annales scientifiques de l'École Normale Supérieure, Sér. 4, 6 no. 4 (1973), p. 413-455 Full text djvu | pdf | Reviews MR 51 #806 | Zbl 0293.22019 | 10 citations in Numdam stable URL: http://www.numdam.org/item?id=ASENS_1973_4_6_4_413_0 Bibliography [2] S. HELGASON, Differential Geometry and Symmetric Spaces, Academic Press, New-York, [3] A. HORN, Doubly stockastic matrices and the diagonal of a rotation matrix (Amer. J. Math, vol. 76, [4] J. E. HUMPHREYS, Introduction to Lie algebras and representation theory, Springer-Verlag, [5] N. IWAHORI and I. SATAKE, On Cartan subalgebras of a Lie algebra, Kodai Math Seminar Report, N° 3, Article | MR 12,585c | Zbl 0045.01102 [6] B. KOSTANT, The principal three dimensional subgroups and the Betti numbers of a complex semi-simple Lie group (Amer. J. Math., vol. 81, [7] B. KOSTANT, Lie group representations on polynomial rings (Amer. J. Math., vol. 86, [8] B. KOSTANT and S. RALLIS, Orbits and representations associated with symmetric spaces (Amer. J. Math., vol. 93, [9] A. LENARD, Generalization of the Golden-Thompson Inequality, Tr eA eB tr eA+B (Indiana Univ. Math. J., vol. 21, [10] O. LOOS, Symmetric Spaces, I. General Theory, Benjamin, [11] G. D. MOSTOW, Some new decomposition theorem for semi-simple Lie groups (Memoirs of the A. M. S., N° 14, [12] Classification de Groupes de Lie algebriques, (Séminaire C. Chevalley, Numdam [13] M. SUGIURA, Conjugate classes of Cartan subalgebras in real semi-simple Lie algebras (J. Math Soc., vol. 11, [14] C. THOMPSON, Inequalities and partial orders on matrix spaces (Indiana Univ. Math. J., vol. 21, [15] F. WARNER, Foundations of Differential Manifolds and Lie Groups, Scott, Foresman and Company. Zbl 0241.58001 [16] A. HORN, On the eigenvalues of a matrix with prescribed singular values, Proceedings of the Amer. Math. Soc., vol. 5, |
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