Lie algebras of characteristic three with nondegenerate Killing form.
Author:
Gordon Brown
Journal:
Trans. Amer. Math. Soc. 137 (1969), 259-268
MSC:
Primary 17.30
DOI:
https://doi.org/10.1090/S0002-9947-1969-0241485-0
MathSciNet review:
0241485
Full-text PDF Free Access
References | Similar Articles | Additional Information
- [1] Richard E. Block and Hans Zassenhaus, The Lie algebras with a nondegenerate trace form, Illinois J. Math. 8 (1964), 543–549. MR 0167503
- [2] C. Chevalley, Sur certains groupes simples, Tohoku Math. J. (2) 7 (1955), 14–66 (French). MR 73602, https://doi.org/10.2748/tmj/1178245104
- [3] Nathan Jacobson, Lie algebras, Interscience Tracts in Pure and Applied Mathematics, No. 10, Interscience Publishers (a division of John Wiley & Sons), New York-London, 1962. MR 0143793
- [4] Irving Kaplansky, Lie algebras of characteristic 𝑝, Trans. Amer. Math. Soc. 89 (1958), 149–183. MR 99359, https://doi.org/10.1090/S0002-9947-1958-0099359-7
- [5] W. H. Mills and G. B. Seligman, Lie algebras of classical type, J. Math. Mech. 6 (1957), 519–548. MR 0089193, https://doi.org/10.1512/iumj.1957.6.56024
- [6] George B. Seligman, On Lie algebras of prime characteristic, Mem. Amer. Math. Soc. No. 19 (1956), 85. MR 0077876
- [7] G. B. Seligman, Modular Lie algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 40, Springer-Verlag New York, Inc., New York, 1967. MR 0245627
Retrieve articles in Transactions of the American Mathematical Society with MSC: 17.30
Retrieve articles in all journals with MSC: 17.30
Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1969-0241485-0
Article copyright:
© Copyright 1969
American Mathematical Society