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Commuting varieties of semisimple Lie algebras and algebraic groups. (English) Zbl 0409.17006


MSC:

17B20 Simple, semisimple, reductive (super)algebras
17B45 Lie algebras of linear algebraic groups
20G15 Linear algebraic groups over arbitrary fields
14A10 Varieties and morphisms
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References:

[1] P. Bala and R. Carter : Unipotent elements in semisimple algebraic groups . I. Math. Proc. Cambridge Philos. Soc. 79 (1976) 401-425. · Zbl 0364.22006 · doi:10.1017/S0305004100052403
[2] A. Borel : Linear Algebraic Groups . Benjamin, New York, 1969. · Zbl 0186.33201
[3] A. Borel and J.-P. Serre : Théorèmes de finitude en cohomologie galoisienne . Comment. Math. Helv. 39 (1964) 111-164. · Zbl 0143.05901 · doi:10.1007/BF02566948
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[8] B. Kostant : On the conjugacy of real Cartan subalgebras . I. Proc. Nat. Acad. Sci. USA 41 (1955) 967-970. · Zbl 0065.26901 · doi:10.1073/pnas.41.11.967
[9] R. Richardson : Deformations of Lie subgroups and the variation of isotropy supgroups . Acta Math. 129 (1972) 35-73. · Zbl 0242.22020 · doi:10.1007/BF02392213
[10] R. Richardson : Conjugacy classes of parabolic subgroups in semisimple algebraic groups . Bull. London Math. Soc. 6 (1974) 21-24. · Zbl 0287.20036 · doi:10.1112/blms/6.1.21
[11] T. Springer and R. Steinberg : Conjugacy classes, in Seminar in Algebraic Groups and Related Finite Groups , ed. by A. Borel et al., Lecture Notes in Mathematics 131, Springer-Verlag, Berlin-Heidelberg-New York, 1970. · Zbl 0249.20024
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