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Classes of unipotent elements in simple algebraic groups. II

Published online by Cambridge University Press:  24 October 2008

P. Bala  and
R. W. Carter
P. Bala
Affiliation:
Mathematics Institute, University of Warwick, Coventry
R. W. Carter
Affiliation:
Mathematics Institute, University of Warwick, Coventry
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Extract

This paper is the second part of the work begun in reference (BC I) and the terminology and notation will be carried over from this earlier part.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 80 , Issue 1 , July 1976 , pp. 1 - 18
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

REFERENCES

(1)Borel, A.Linear algebraic groupa (New York: Benjamin, 1969).Google Scholar
(2)Borel, A., Carter, R., Curtis, C. W., Iwahori, N., Springer, T. A. and Steinberg, R.Seminar on algebraic groups and related finite groups. Lecture Notes in Mathematics 131 (Springer, 1970).CrossRefGoogle Scholar
(3)Borel, A. and De Siebenthal, J.Les sous-groupes fermés de rang maximum des groupes de Lie clos. Comment. Math. Hely. 23 (1949), 200–221.CrossRefGoogle Scholar
(4)Carter, R. W. and Elkington, G. B.A note on the parametrisation of conjugacy classes. J. Algebra 20 (1972), 350–354.CrossRefGoogle Scholar
(5)Dynkin, E. B.Semisimple subalgebras of semisimple Lie algebras. Amer. Math. Soc. Trans. (2) 6 (1957), 111–244.Google Scholar
(6)Elkington, G. B.Centralizers of unipotent elements in semisimple algebraic groups. J. Algebra 23 (1972), 137–163.CrossRefGoogle Scholar
(7)Jacobson, N.Lie algebras (New York: Interscience Publishers, 1962).Google Scholar
(8)Richardson, R. W.Conjugacy classes in Lie algebras and algebraic groups. Ann. Math. 86 (1967), 1–15.CrossRefGoogle Scholar
(9)Richardson, R. W.Conjugacy classes in parabolic subgroups of semisimple algebraic groups. Bull. London Math. Soc. 6 (1974), 21–24.CrossRefGoogle Scholar
(10)Rosenlicht, M.On quotient varieties and the affine embedding of certain homogeneous spaces. Trans. Amer. Math. Soc. 101 (1961), 211–223.CrossRefGoogle Scholar
(11)Springer, T. A. The unipotent variety of a semisimple group. Proceedings of the Colloquium in Algebraic Geometry (Tata Institute, 1969), 373–391.Google Scholar
(12)Steinberg, R.Automorphisme of classical Lie algebras. Pacific J. Math. 11 (1961), 1119–1129.CrossRefGoogle Scholar
(13)Wall, G. E.On the conjugacy classes in the unitary, symplectic and orthogonal groups. J. Australian Math. Soc. 3 (1963), 1–62. (BC I) Bala P. and Carter R. W. Classes of unipotent elements in simple algebraic groups. I. Math. Proc. Cambridge Philos. Soc. 79 (1976), 401–425.CrossRefGoogle Scholar