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The roots of a simple Lie algebra are linear
Author(s):
Robert Lee
Wilson
Journal:
Bull. Amer. Math. Soc.
82
(1976),
607-608.
MSC (1970):
Primary 17B20
MathSciNet review:
0409579
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Additional information
References:
- 1.
- R. Block, On Lie algebras of rank one, Trans. Amer. Math. Soc. 112 (1964), 19-31 MR 28 #4013. MR 160803
- 2.
- I. Kaplansky, Lie algebras of characteristic p, Trans. Amer. Math. Soc. 89 (1958), 149-183. MR 20 #5799. MR 99359
- 3.
- J. R. Schue, Cartan decompositions for Lie algebras of prime characteristic, J. Algebra 11 (1969), 25-52; Errata 13 (1969), 558. MR 38 #201. MR 231873
- 4.
- G. B. Seligman, Modular Lie algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 40, Springer-Verlag, Berlin and New York 1967. MR 39 #6933. MR 245627
- 5.
- R. L. Wilson, A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic, J. Algebra (to appear). MR 412239
- 6.
- R. L. Wilson, Cartan subalgebras of simple Lie algebras, Trans. Amer. Math. Soc. (submitted). MR 480650
- 7.
- R. L. Wilson, Simple Lie algebras of toral rank one, Trans. Amer. Math. Soc. (submitted). MR 463252
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14129-8
PII:
S 0002-9904(1976)14129-8
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