Forms of restricted simple lie algebras

  • Shirlei Serconek
  • Robert Lee Wilson
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1373)

1980 AMS subject classification (1985 revision)



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  1. [As-69]
    H. Allen and M. Sweedler, A theory of linear descent based upon Hopf algebraic techniques, J. Algebra 12 (1969), 242–294.MathSciNetCrossRefzbMATHGoogle Scholar
  2. [Bar-63]
    R. T. Barnes, On derivation algebras and Lie algebras of prime characteristic. Ph.D. thesis, Yale University, 1963.Google Scholar
  3. [Bar-66]
    —, On splitting fields for certain Lie algebras of prime characteristic, Proc. Amer. Math. Soc. 17 (1966), 930–935.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [BW-88]
    R. E. Block and R. L. Wilson, Classification of the restricted simple Lie algebras, J. Algebra 114 (1988), 115–259.MathSciNetCrossRefzbMATHGoogle Scholar
  5. [Jac-39]
    N. Jacobson, Cayley numbers and simple Lie algebras of type G, Duke Math. J. 5 (1939), 775–783.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [Jac-41]
    —, Classes of restricted Lie algebras of characteristic p. I, Amer. J. Math. 63 (1941), 481–515.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [Jac-43]
    —, Classes of restricted Lie algebras of characteristic p. II, Duke Math. J. 10 (1943), 107–121.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [Jac-62]
    —, Lie algebras, Interscience Tracts in Pure and Applied Math. 10, Interscience, New York, 1962.zbMATHGoogle Scholar
  9. [Jac-66]
    —, Forms of algebras, Yeshiva Sci. Confs. 1 (1966), 41–71.Google Scholar
  10. [KS-66]
    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.MathSciNetGoogle Scholar
  11. [Mat-86]
    H. Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics 8, Cambridge University Press, Cambridge, 1986.zbMATHGoogle Scholar
  12. [Sel-67]
    G. B. Seligman, Modular Lie algebras, Ergebnisse der Mathematik und ihrer Grenzgebiete 40, Springer-Verlag, New York, 1967.CrossRefzbMATHGoogle Scholar
  13. [Ser-80]
    S. Serconek, Forms of restricted simple Lie algebras of Cartan type. Ph. D. thesis, Rutgers University, 1980.Google Scholar
  14. [SW-pre]
    S. Serconek and R. L. Wilson, Classification of forms of restricted simple Lie algebras of Cartan type, Comm. Algebra, to appear.Google Scholar
  15. [Ser-68]
    J. P. Serre, Corps Locaux, Hermann, Paris, 1968.zbMATHGoogle Scholar
  16. [SF-88]
    H. Strade and R. Farnsteiner, Modular Lie algebras and their representations, Marcel Dekker, New York, 1988.zbMATHGoogle Scholar
  17. [Swe-68]
    M. E. Sweedler, Structure of inseparable extensions, Annals of Math. 87 (1968), 401–410.MathSciNetCrossRefzbMATHGoogle Scholar
  18. [Tom-53]
    M. L. Tomber, Lie algebras of type F, Proc. Amer. Math. Soc. 4 (1953), 759–768.MathSciNetzbMATHGoogle Scholar
  19. [Wat-71]
    W. C. Waterhouse, Automorphism schemes and forms of Witt Lie algebras, J. Algebra 17 (1971), 34–40.MathSciNetCrossRefzbMATHGoogle Scholar
  20. [Wei-65]
    M. Weisfeld, Purely inseparable extensions and higher derivations, Trans. Amer. Math. Soc. 116 (1965), 435–450.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Shirlei Serconek
    • 1
  • Robert Lee Wilson
    • 1
  1. 1.Department of MathematicasRutgers UniversityNew BrunswickUSA

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