Explicit Cayley triples in real forms of G2, F4, and E6

Pacific Journal of Mathematics

Volumn 184, Issue 2, 1998, Pages 231-255

  Doković, Dragomir Ž ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040843579     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1998.184.231     Document Type: Article

References (18)

1. N. Bourbaki, Groupes et algèbres de Lie, Chap. 4, 5 et 6, Hermann, Paris, 1968.
2. N. Bourbaki, Groupes et algèbres de Lie, Chap. 7 et 8, Hermann, Paris, 1975.
3. R. Carter, Finite groups of Lie type: Conjugacy classes and complex characters, J. Wiley, London, 1985.
4. D.H. Collingwood and W.M. McGovern, Nilpotent orbits in semisimple Lie algebras, Van Nostrand Reinhold, New York, 1992.
5. D.Ž. Cross D signoković, Proof of a conjecture of Kostant, Trans. Amer. Math. Soc., 302 (1987), 577-585.
6. _, Classification of nilpotent elements in simple exceptional real Lie algebras of inner type and description of their centralizers, J. Algebra, 112 (1988), 503-524.
7. 6(-26) and description of their centralizers, J. Algebra, 116 (1988), 196-207.
8. _, On automorphisms and adjoint orbits of real semisimple Lie algebras, J. Algebra, 94 (1985), 19-29.
9. _, Note on rational points in nilpotent orbits of semisimple groups, Indag. Mathem., to appear.
10. E.B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Mat. Sbornik (N.S.), 30 (1953), 349-462; Amer. Math. Soc. Transl., 6 (1957), 111-245.
11. E.B. Dynkin, Semisimple subalgebras of semisimple Lie algebras, Mat. Sbornik (N.S.), 30 (1953), 349-462; Amer. Math. Soc. Transl., 6 (1957), 111-245.
12. A.G. Elašvili, The centralizers of nilpotent elements in semisimple Lie algebras, Trudy Tbiliss. Mat. Inst. Razmadze, Akad. Nauk Gruzin., 46 (1975), 109-132 [in Russian].
13. B. Kostant, Lie group representations on polynomial rings, Amer. J. Math., 85 (1963), 327-404.
14. B. Kostant and S. Rallis, Orbits and representations associated with symmetric spaces, Amer. J. Math., 93 (1971), 753-809.
15. J.F. Kurtzke, Centers of centralizers in reductive algebraic groups, Comm. in Algebra, 19 (1991), 3393-3410.
16. H. Matsumoto, Quelques remarques sur les groupes de Lie algébrique réels, J. Math. Soc. Japan, 16 (1964), 419-446.
17. J. Sekiguchi, Remarks on nilpotent orbits of a symmetric pair, J. Math. Soc. Japan, 39 (1987), 127-138.
18. T.A. Springer and R. Steinberg, Conjugacy classes, in 'Seminar on algebraic groups and related finite groups', Part E, Lect. Notes Math., 131 (1969), 167-266, Springer.