The closure diagram for nilpotent orbits of the split real form of E7

Representation Theory

Volumn 5, Issue 12, 2001, Pages 284-316

  Đ Okovi Ć, Dragomir Ž ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

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[No Author keywords available]

Indexed keywords

EID: 85009747683     PISSN: 10884165     EISSN: None     Source Type: Journal    
DOI: 10.1090/S1088-4165-01-00124-8     Document Type: Article

References (16)

1. D. Barbasch and M.R. Sepanski, Closure ordering and the Kostant–Sekiguchi correspondence, Proc. Amer. Math. Soc. 126 (1998), 311–317. MR 98c:22004
2. W.M. Beynon and N. Spaltenstein, Green functions of finite Chevalley groups of type En(n = 6, 7, 8), J. Algebra 88 (1984), 584–614. MR 85k:20136
3. N. Bourbaki, Groupes et algèbres de Lie, Chap. 7 et 8, Hermann, Paris, 1975. MR 56:12077
4. B.W. Char, K.O. Geddes, G.H. Gonnet, B.L. Leong, M.B. Monagan, and S.M. Watt, Maple V Language reference Manual, Springer–Verlag, New York, 1991, xv+267 pp.
5. D.H. Collingwood and W.M. McGovern, Nilpotent Orbits in Semisimple Lie Algebras, Van Nostrand Reinhold, New York, 1993. MR 94j:17001
6. D. Ž. Đoković, Classification of nilpotent elements in simple exceptional real Lie algebras of inner type and description of their centralizers, J. Algebra 112 (1988), 503–524. MR 89b:17010
7. 7, Pacific J. Math. 191 (1999), 1–23. MR 2001c:22012
8. D. Ž. Đoković The closure diagrams for nilpotent orbits of real forms of F4 and G2, J. Lie Theory 10 (2000), 491–510. MR 2001i:14061
9. D. Ž. Đoković, The closure diagrams for nilpotent orbits of real forms of E6, J. Lie Theory 11 (2001), 381–413.
10. D. Ž. Đoković, The closure diagrams for nilpotent orbits of the real forms E VI and E VII of E7, Represent. Theory 5 (2001), 17–42. CMP 2001:11
11. D. Ž. Đoković, The closure diagram for nilpotent orbits of the real form E IX of E8, Asian J. Math. (to appear), 23 pp.
12. K. Mizuno, The conjugate classes of unipotent elements of the Chevalley groups E7 and E8, Tokyo J. Math. 3 (1980), 391–461. MR 82m:20046
13. M. Sato and T. Kimura, A classification of irreducible prehomogeneous vector spaces and their relative invariants, Nagoya Math. J. 65 (1977), 1–155. MR 55:3341
14. M. Sato, Theory of prehomogeneous vector spaces (algebraic part), the English translation of Sato’s lecture from Shintani’s notes. Notes by Takuro Shintani. Translated from the Japanese by Masakazu Muro, Nagoya Math. J. 120 (1990), 1–34. MR 92c:32039
15. J. Tits, Normalisateurs de tores. I. Groupes de Coxeter étendus, J. Algebra 4 (1966), 96–116. MR 34:5942
16. M.A.A. van Leeuwen, A.M. Cohen, and B. Lisser, “LiE”, a software package for Lie group theoretic computations, Computer Algebra Group of CWI, Amsterdam, The Netherlands.