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The restricted simple Lie algebras with a two-dimensional Cartan subalgebra
Author(s):
Richard E.
Block;
Robert Lee
Wilson
Journal:
Bull. Amer. Math. Soc.
1
(1979),
682-684.
MSC (1970):
Primary 17B20, 17B05
MathSciNet review:
532552
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Additional information
References:
- 1.
- R. E. Block, On the Mills-Seligman axioms for Lie algebras of classical type, Trans. Amer. Math. Soc. 121 (1966), 378-392. MR 188356
- 2.
- R. E. Block, Determination of the differentiably simple rings with a minimal ideal, Ann. of Math. (2) 90 (1969), 433-459. MR 251088
- 3.
- N. Jacobson, Lie algebras, Wiley, New York, 1962. MR 143793
- 4.
- V. G. Kac, On the classification of simple Lie algebras over a field of nonzero characteristic, Izv. Akad. Nauk SSSR Ser. Mat. 34 (1970), 385-408 = Math. USSR-Izv. 4 (1970), 391-413. MR 276286
- 5.
- V. G. Kac, Description of filtered Lie algebras with which graded Lie algebras of Cartan type are associated, Izv. Akad. Nauk SSSR 38 (1974), 800-838 (Errata, 40 (1976), 1415) = Math. USSR-Izv. 8 (1974), 801-835.
- 6.
- I. Kaplansky, Lie algebras of characteristic p, Trans. Amer. Math. Soc. 89 (1958), 149-183. MR 99359
- 7.
- A. I. Kostrikin and I. R. Šafarevič, Cartan pseudogroups and Lie p-algebras, Dokl. Akad.Nauk SSSR 168 (1966), 740-742 = Soviet Math. Dokl. 7 (1966), 715-718. MR 199235
- 8.
- A. I. Kostrikin and I. R. Šafarevič, Graded Lie algebras of finite characteristic, Izv. Akad. Nauk SSSR Ser. Mat. 33 (1969), 251-322 = Math. USSR-Izv. 3 (1969), 237-304. MR 252460
- 9.
- G. B. Seligman, Modular Lie algebras, Ergebnisse der Math., Band 40, Springer-Verlag, New York, 1967. MR 245627
- 10.
- B. Weisfeiler, On the structure of the minimal ideal of some graded Lie algebras in characteristic p > 0, J. Algebra 53 (1978), 344-361. MR 502633
- 11.
- R. L. Wilson, A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime charcteristic, J. Algebra 40 (1976), 418-465. MR 412239
- 12.
- R. L. Wilson, Simple Lie algebras of toral rank one, Trans. Amer. Math. Soc. 236 (1978), 287-295. MR 463252
- 13.
- D. J. Winter, On the toral structure of Lie p-algebras, Acta Math. 123 (1969), 69-81. MR 251095
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Additional Information:
DOI:
10.1090/S0273-0979-1979-14665-2
PII:
S 0273-0979(1979)14665-2
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