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Action de groupes sur A1(ℂ)

Part of the Lecture Notes in Mathematics book series (LNM,volume 1197)

Keywords

  • Free Associative Algebra
  • Nous Allons
  • Wild Automorphism
  • Nous Montrons
  • Infinite Dimensional Group

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Bibliographie

  1. J. Alev, Quelques propriétés de RG,II, Communications in Algebra, 10(1), 203–216, 1982.

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. J. Alev, Algèbres enveloppantes et algèbres à identité polynômiale: Invariants, Thèse, Paris 1983.

    Google Scholar 

  3. J. Alev, Un automorphisme non modéré de U(g3), Compte-rendus des journées d'algèbres de Luminy, Août 1984, à paraître.

    Google Scholar 

  4. R.C. Alperin, Homology of the group of automorphisms of K[x,y] Journal of pure and Applied Algebra, 15 (1979), 109–115.

    CrossRef  MathSciNet  MATH  Google Scholar 

  5. H. Bass, A non-triangular action of Ga on A3; Journal of Pure and Applied Algebra 33 (1984), 1–5.

    CrossRef  MathSciNet  Google Scholar 

  6. G. Bergman, Wild automorphisms of free P.I. algebras, and some new identities, à paraître.

    Google Scholar 

  7. D. Castella, Anneaux réguliers de Baer compressibles, Publication du Dept. de Math. de l'Université de Poitiers.

    Google Scholar 

  8. A.J. Czerniakiewicz, Automorphisms of a free associative algebra of rank 2, II. Trans. A.M.S. 171 (1972) 309–315.

    MathSciNet  MATH  Google Scholar 

  9. W. Dicks, A commutator test for two elements to generate the free algebra of rank two, Bull. London Math. Soc., 14 (1982), 48–51.

    CrossRef  MathSciNet  MATH  Google Scholar 

  10. J. Dixmier, Sur les algèbres de Weyl, Bull. Math. France, 96, 1968, 209–242.

    MathSciNet  MATH  Google Scholar 

  11. D.R. Farkas and R.L. Snider, Noetherian Fixed Rings, Pac. J. of Math., 69, 2, 347.

    Google Scholar 

  12. J. Fisher and J. Osterburg, Semi-prime ideals in rings with finite group actions, J. of Algebra, 50, 1978, 488–502.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. A. Joseph, A wild automorphism of U(sl(2)), Math. Proc. Camb. Phil. Soc., 1976, 80, 61–65.

    CrossRef  MATH  Google Scholar 

  14. H.W.E. Jung, Eingurhung in der theorie der algebraishen functionen Zweier Veränderlicher, Akademic Verlag Berlin (1951).

    Google Scholar 

  15. T. Kambayashi, On the absence of non trivial separable forms of the affine plane, Journal of Algebra, 35, 449–456 (1975).

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. L. Le Bruyn, Savage Automorphisms of F[x1,x2,...,xn], to appear

    Google Scholar 

  17. M. Lorentz and D.S. Passman, Observations on crossed products and fixed rings, Communications in Algebra, 8, 1980, 743–779.

    CrossRef  MathSciNet  MATH  Google Scholar 

  18. L.G. Makar-Limanov, On automorphisms of free algebras with two generators, Funkc. Anal. i ego prilozeniya 4 (1970), 107–108.

    MathSciNet  MATH  Google Scholar 

  19. S. Montgomery, Fixed rings of finite Automorphism groups of Associative rings, Lectures Notes in Mathematics, 818.

    Google Scholar 

  20. S. Montgomery, X-inner automorphisms of filtered algebras, Proc. Ann. Math. Soc. Vol. 83, no2, October 1981.

    Google Scholar 

  21. M. Nagata, On the automorphism group of k[x,y], Lectures in Mathematics, Kyoto University (Tokyo, Kinokuniya) 1972.

    MATH  Google Scholar 

  22. M. Pittaluga, On the automorphism group of a polynomial algebra, ph. D. Thesis.

    Google Scholar 

  23. R. Rentschler, Opérations du groupe additif sur le plan affine, C.R.A.Sc. Paris, t.267, 1968, série A.

    Google Scholar 

  24. O. Riemenschneider, Die invarianten der endlichen untergruppen von GL(2,ℂ), Math. Z. 153, 37–50. (1977).

    CrossRef  MathSciNet  MATH  Google Scholar 

  25. I.R. Safarevic, On some infinite dimensional groups, II, Math. USSR Iznestija Vol. 18 (1982), No1.

    Google Scholar 

  26. J.P. Serre, Amalgames, SL2, Société Mathématique de France, Astérisque, 46, 1977.

    Google Scholar 

  27. M.K. Smith, Automorphisms of enveloping Algebras, Communications in Algebra, Vol. 11, No16, 1983.

    Google Scholar 

  28. W. Van der Kulk, On polynomial rings in two variables, N. Archief voor Wishunik (3), Vol. 1, 1953, 33–41.

    MathSciNet  MATH  Google Scholar 

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© 1986 Springer-Verlag

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Alev, J. (1986). Action de groupes sur A1(ℂ). In: van Oystaeyen, F.M.J. (eds) Ring Theory. Lecture Notes in Mathematics, vol 1197. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076307

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  • DOI: https://doi.org/10.1007/BFb0076307

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  • Print ISBN: 978-3-540-16496-8

  • Online ISBN: 978-3-540-39833-2

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