Highest Weights of Semisimple Lie Algebras

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1. [1]- H. Wcyl. The classical groups (PrincetonUniv. Press1946). 
2. [2] S. Lie and F. Engel. Theorie der Transformations gruppen (Leipzig1893). JFM08.0212.01
3. [3] L.S. Pontrjagin. Topological groups (PrincetonUniv. Press1939). Zbl65.0872.02JFM65.0872.02
4. [4] J. Patera and D. Sankoff. Tables of branching rules (Presses de l'Université de Montreal1973). MR450467
5. [5] H. Zasscnhaus. Lecture Notes of the Summer School (Université de Montreal juin 1976) on Lie Groups, Lie algebras and Representation Theory. The theory of groups. (Chelsea1958). 
6. [6] E. Cartan. These, Paris 1894. 2nd ed.(Vuibert, Paris1933), 
7. [7] C. Chevalley. Théorie des groupes de Lie (Hermann, Paris1968). Zbl0186.33104
8. [8] H. Bacry. Leçons sur la théorie des groupes (Gordon & Breach1968). 
9. [9] E.B. Dynkin. Am. Math. Soc. translations n° 17 (1950) MR35761
10. E.B. DynkinAm. Math. Soc. translations serie 2, 6 (1957), p.111-244. 
11. [10] H. Freudenthal & de Vries. Linear Lie Groups (Academic Press1969). Zbl0377.22001MR260926
12. [11] N. Jacobson. Lie algebras (John Wiley, Interscience, 1962). Zbl0121.27504MR143793
13. [12] J.E. Humphreys. Introduction to Lie algebras, etc. (Springer, G.T.M.1972). Zbl0254.17004MR323842
14. [13] P.A. Rowlatt. Group Theory and elementary particles.(Longmans1966). Zbl0156.23602
15. [14] I. Satake. Classification theory of semi-simple algebraic groups .(M. Dekker, New-York1971). Zbl0226.20037MR316588
16. [15] J.P. Serre, Algebres de Lie semisimples complexes (Benjamin ; 1966). Zbl0144.02105MR215886
17. [16] H. Bacry, Ph. Combe and P. Sorba. Rept. Math. Phys.5, 2, 145 (1974) Zbl0293.22034
18. [17,a] J. Patera, R. Sharp, P. Wintemitz and H. Zassenhaus. Subgroups of the Poincaré group and their invariants (J.M.P.17, 6, 1976). Zbl0347.20029MR407200
19. [18,a] M. Hamermesh. Group theory and its application to physical problems. (Addison-Wesley1962). Zbl0100.36704MR136667
20. [18,b] N. Bourbaki. Groupes et algèbres de Lie. Chap. 8, p. 214.( Hermann1975). Zbl0483.22001
21. [19] M. Perroud. On the irreducible representations of the Lie algebra chain $G_2\supset A_2$ (J.M.P.17, 11, 1976). Zbl0346.17007MR426659
22. [20] W. Laskar. Highest weight of smi-simple Lie algebras (5ième Colloque sur la théorie des groupes ; Montréal 5-9 Juillet 1976). Zbl0358.17013