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Forms of restricted simple lie algebras

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1373)

1980 AMS subject classification (1985 revision)

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References

  1. H. Allen and M. Sweedler, A theory of linear descent based upon Hopf algebraic techniques, J. Algebra 12 (1969), 242–294.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. R. T. Barnes, On derivation algebras and Lie algebras of prime characteristic. Ph.D. thesis, Yale University, 1963.

    Google Scholar 

  3. —, On splitting fields for certain Lie algebras of prime characteristic, Proc. Amer. Math. Soc. 17 (1966), 930–935.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. R. E. Block and R. L. Wilson, Classification of the restricted simple Lie algebras, J. Algebra 114 (1988), 115–259.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. N. Jacobson, Cayley numbers and simple Lie algebras of type G, Duke Math. J. 5 (1939), 775–783.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. —, Classes of restricted Lie algebras of characteristic p. I, Amer. J. Math. 63 (1941), 481–515.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. —, Classes of restricted Lie algebras of characteristic p. II, Duke Math. J. 10 (1943), 107–121.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. —, Lie algebras, Interscience Tracts in Pure and Applied Math. 10, Interscience, New York, 1962.

    MATH  Google Scholar 

  9. —, Forms of algebras, Yeshiva Sci. Confs. 1 (1966), 41–71.

    Google Scholar 

  10. A. I. Kostrikin and I. R. Šafarevič, Cartan pseudogroups and Lie p-algebras (Russian), Dokl. Akad. Nauk SSSR 168(1966), 740–742; English transl., Soviet Math. Dokl. 7 (1966), 715–718.

    MathSciNet  Google Scholar 

  11. H. Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics 8, Cambridge University Press, Cambridge, 1986.

    MATH  Google Scholar 

  12. G. B. Seligman, Modular Lie algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete 40, Springer-Verlag, New York, 1967.

    CrossRef  MATH  Google Scholar 

  13. S. Serconek, Forms of restricted simple Lie algebras of Cartan type. Ph. D. thesis, Rutgers University, 1980.

    Google Scholar 

  14. S. Serconek and R. L. Wilson, Classification of forms of restricted simple Lie algebras of Cartan type, Comm. Algebra, to appear.

    Google Scholar 

  15. J. P. Serre, Corps Locaux, Hermann, Paris, 1968.

    MATH  Google Scholar 

  16. H. Strade and R. Farnsteiner, Modular Lie algebras and their representations, Marcel Dekker, New York, 1988.

    MATH  Google Scholar 

  17. M. E. Sweedler, Structure of inseparable extensions, Annals of Math. 87 (1968), 401–410.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. M. L. Tomber, Lie algebras of type F, Proc. Amer. Math. Soc. 4 (1953), 759–768.

    MathSciNet  MATH  Google Scholar 

  19. W. C. Waterhouse, Automorphism schemes and forms of Witt Lie algebras, J. Algebra 17 (1971), 34–40.

    CrossRef  MathSciNet  MATH  Google Scholar 

  20. M. Weisfeld, Purely inseparable extensions and higher derivations, Trans. Amer. Math. Soc. 116 (1965), 435–450.

    CrossRef  MathSciNet  MATH  Google Scholar 

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© 1989 Springer-Verlag

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Serconek, S., Wilson, R.L. (1989). Forms of restricted simple lie algebras. In: Benkart, G., Osborn, J.M. (eds) Lie Algebras, Madison 1987. Lecture Notes in Mathematics, vol 1373. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088888

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  • DOI: https://doi.org/10.1007/BFb0088888

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