Keywords
- Prime Characteristic
- Free Abelian Group
- Cartan Matrix
- Principal Ideal Domain
- Elementary Subgroup
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
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).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0093355
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11563-2
Online ISBN: 978-3-540-39262-0
eBook Packages: Springer Book Archive
