An explicit construction of Casimir operators and eigenvalues. II

Journal of Mathematical Physics

Volumn 38, Issue 11, 1997, Pages 5991-6007

  Karadayi, H R ^a   Gungormez, M ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031535836     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532176     Document Type: Article

References (18)

1. H. R. Karadayi and M. Gungormez, J. Math. Phys. 38, 5976 (1997).
2. H. W. Braden, J. Math. Phys. 29, 727, 2492 (1988); H. S. Green and P. D. Jarvis, ibid 24, 1681 (1983).
3. H. W. Braden, J. Math. Phys. 29, 727, 2492 (1988); H. S. Green and P. D. Jarvis, ibid 24, 1681 (1983).
4. B. Kostant, Trans. Am. Math. Soc. 93, 53 (1959); H. Freudenthal, Indag. Math. 16, 369, 487 (1954); 18, 511 (1956).
5. B. Kostant, Trans. Am. Math. Soc. 93, 53 (1959); H. Freudenthal, Indag. Math. 16, 369, 487 (1954); 18, 511 (1956).
6. B. Kostant, Trans. Am. Math. Soc. 93, 53 (1959); H. Freudenthal, Indag. Math. 16, 369, 487 (1954); 18, 511 (1956).
7. V. G. Kac, Infinite Dimensional Lie Algebras, 3rd ed. (Cambridge University Press, Cambridge, 1990).
8. R. W. Carter, Simple Groups of Lie Type (Wiley, New York, 1972), paragraph 3.29.
9. H. R. Karadayi, J. Math. Phys. 25, 141 (1984).
10. See Ref. 4, Sec. 3.12.
11. J. E. Humphreys, Introduction of Lie Algebras and Representation Theory (Springer-Verlag, New York, 1972).
12. H. R. Karadayi, "Anatomy of grand unifying groups," ICTP preprints (unpublished), IC/81/213 and 224.
13. D. Kutasov, A. Schwimmer, and N. Seiberg, "Chiral rings, singularity theory and electric-magnetic duality," hep-th/ 9510222.
14. A. Borel and C. Chevalley, Mem. Am. Math. Soc. 14, 1 (1955); Y. Chih-Ta, Sur Les Polynomes de Poincare des Groupes de Lie Exceptionnels (Comptes Rendue Acad. Sci., Paris, 1949), pp. 628-630; C. Chevalley, Proc. Int. Congress Math. 2, 21 (1952): A. Borel, Ann. Math. 57, 115 (1953); A. J. Coleman, J. Can. Math. 10, 349 (1958).
15. A. Borel and C. Chevalley, Mem. Am. Math. Soc. 14, 1 (1955); Y. Chih-Ta, Sur Les Polynomes de Poincare des Groupes de Lie Exceptionnels (Comptes Rendue Acad. Sci., Paris, 1949), pp. 628-630; C. Chevalley, Proc. Int. Congress Math. 2, 21 (1952): A. Borel, Ann. Math. 57, 115 (1953); A. J. Coleman, J. Can. Math. 10, 349 (1958).
16. A. Borel and C. Chevalley, Mem. Am. Math. Soc. 14, 1 (1955); Y. Chih-Ta, Sur Les Polynomes de Poincare des Groupes de Lie Exceptionnels (Comptes Rendue Acad. Sci., Paris, 1949), pp. 628-630; C. Chevalley, Proc. Int. Congress Math. 2, 21 (1952): A. Borel, Ann. Math. 57, 115 (1953); A. J. Coleman, J. Can. Math. 10, 349 (1958).
17. A. Borel and C. Chevalley, Mem. Am. Math. Soc. 14, 1 (1955); Y. Chih-Ta, Sur Les Polynomes de Poincare des Groupes de Lie Exceptionnels (Comptes Rendue Acad. Sci., Paris, 1949), pp. 628-630; C. Chevalley, Proc. Int. Congress Math. 2, 21 (1952): A. Borel, Ann. Math. 57, 115 (1953); A. J. Coleman, J. Can. Math. 10, 349 (1958).
18. A. Borel and C. Chevalley, Mem. Am. Math. Soc. 14, 1 (1955); Y. Chih-Ta, Sur Les Polynomes de Poincare des Groupes de Lie Exceptionnels (Comptes Rendue Acad. Sci., Paris, 1949), pp. 628-630; C. Chevalley, Proc. Int. Congress Math. 2, 21 (1952): A. Borel, Ann. Math. 57, 115 (1953); A. J. Coleman, J. Can. Math. 10, 349 (1958).