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Differential forms and the algebra W(m:n)

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Lie Algebras, Madison 1987

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

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References

  1. R. Blattner, Induced and produced representations of Lie algebras, Trans. Amer. Math. Soc. 144 (1969), 457–474.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. E. Block and R. L. Wilson, On filtered Lie algebras and divided power algebras, Comm. Algebra 3 (1975), 571–589.

    Article  MathSciNet  MATH  Google Scholar 

  3. __________, Classification of the restricted simple Lie algebras, J. Algebra 114 (1988), 115–259.

    Article  MathSciNet  MATH  Google Scholar 

  4. N. J. Fine, Binomial coefficients modulo a prime, Amer. Math. Monthly 54 (1947), 589–592.

    Article  MathSciNet  MATH  Google Scholar 

  5. V. G. Kac, Global Cartan pseudogroups and simple Lie algebras of characteristic p [Russian], Uspehi Mat. Nauk 26 (1971), 199–200.

    MathSciNet  MATH  Google Scholar 

  6. _____, Description of filtered Lie algebras with which graded Lie algebras of Cartan type are associated, Izv. Akad. Nauk. SSSR Ser. Mat. 38 (1974), 800–834; Errata, 40 (1976), 1415 [Russian]; Math. USSR-Izv. 8 (1974), 801–835; Errata, 10 (1976), 1339 [English transl.].

    MathSciNet  Google Scholar 

  7. A. I. Kostrikin and I. R. Safarevič, Graded Lie algebras of finite characteristic, Izv. Akad. Nauk. SSSR Ser. Mat. 33 (1969), 251–322 [Russian]; Math. USSR-Izv. 3 (1969), 237–304 [English transl.].

    MathSciNet  Google Scholar 

  8. D. E. Radford, Divided power structures on Hopf algebras and embedding Lie algebras into special-derivation algebras, J. Algebra 98 (1986), 143–170.

    Article  MathSciNet  MATH  Google Scholar 

  9. R. Ree, On generalized Witt algebras, Trans. Amer. Math. Soc. 83 (1956), 510–546.

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

  11. H. Strade and R. Farnsteiner, “Modular Lie Algebras and Their Representations,” Marcel Dekker, Vol. 116, New York, 1988.

    Google Scholar 

  12. R. L. Wilson, Nonclassical simple Lie algebras, Bull. Amer. Math. Soc. 75 (1969), 987–991.

    Article  MathSciNet  MATH  Google Scholar 

  13. _____, Classification of generalized Witt algebras over algebraically closed fields, Trans. Amer. Math. Soc. 153 (1971), 191–210.

    Article  MathSciNet  MATH  Google Scholar 

  14. _____, Automorphisms of graded Lie algebras of Cartan type, Comm. Algebra 3 (1975), 591–613.

    Article  MathSciNet  MATH  Google Scholar 

  15. _____, A structural characterization of the simple Lie algebras of generalized Cartan type over fields of prime characteristic, J. Algebra 40 (1976), 418–465.

    Article  MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. School of Mathematics, Institute of Advanced Study, 08540, Princeton, NJ, USA

    Robert Lee Wilson

  2. Department of Mathematics, Rutgers University, 08903, New Brunswick, NJ, USA

    Robert Lee Wilson

Authors
  1. Robert Lee Wilson
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Editor information

Georgia Benkart J. Marshall Osborn

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© 1989 Springer-Verlag

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Wilson, R.L. (1989). Differential forms and the algebra W(m:n). 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/BFb0088885

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  • DOI: https://doi.org/10.1007/BFb0088885

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51147-2

  • Online ISBN: 978-3-540-46170-8

  • eBook Packages: Springer Book Archive

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