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References
E. Abe: On the groups of C. Chevalley, J. Math. Soc. Japan 11, 15–41 (1959).
R. Block: The classification problem for simple Lie algebras of prime characteristic, Lecture Notes in Mathematics, this volume, Springer-Verlag,—(198).
C. Chevalley: Sur certains groupes simples, Tohoku Math. J. (2) 7, 14–66 (1955).
J. Dieudonné: Les algèbres de Lie simples associées aux groupes simples algébriques sur un corps de caractéristique p>0, Rend. Circ. Mat. Palermo (2) 6, 198–204 (1957).
G. Hogeweij: Ideals and automorphisms of almost classical Lie algebras, Ph. D. Dissertation, Rijksuniversiteit te Utrecht, 1978.
J. Hurley: Ideals in Chevalley algebras, Trans. Amer. Math. Soc. 137, 245–258 (1969).
J. Hurley: Centers of Chevalley algebras, J. Math. Soc. Japan, to appear.
J. Hurley: Centers of Chevalley groups over rings, in preparation.
N. Jacobson: Classes of restriced, Lie algebras of characteristic p, Amer. J. Math. 63, 481–515 (1941).
N. Jacobson: Classes of restricted Lie algebras of characteristic p II, Duke Math. J. 10, 107–121 (1943).
G. Seligman: Modular Lie Algebras, Springer-Verlag, New York, 1967.
R. Steinberg: Automorphisms of classical Lie algebras, Pacific J. Math. 11, 1119–1129 (1961).
I. Stewart: Central simplicity and Chevalley algebras, Compositio Math. 26, 111–118 (1973).
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© 1982 Springer-Verlag
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Hurley, J.F. (1982). A note on the centers of lie algebras of classical type. In: Winter, D. (eds) Lie Algebras and Related Topics. Lecture Notes in Mathematics, vol 933. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093355
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DOI: https://doi.org/10.1007/BFb0093355
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