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Nilpotent elements and solvable actions

  • Autores: Mihai Sabac
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 47, Fasc. 1, 1996, págs. 91-104
  • Idioma: inglés
  • Enlaces
  • Resumen
    • In what follows we shall describe, in terms of some commutation properties, a method which gives nilpotent elements. Using this method we shall describe, as in [9] the irreducibility for Lie algebras which have Levi-Malçev decomposition property.

  • Referencias bibliográficas
    • I. Colojoara and C. Foias, Theory of Generalized Spectral Operators, Gordon and Breach, New York, 1968.
    • C. Foias and M. Sabac, A generalisation of Lie’s theorem IV, Rev. Roumaine Math. Pures Appl. 19, 5 (1974), 605–608.
    • D. Gurarii, Banach uniformly continuous representations of Lie groups and algebras, J. Funct. Anal. 36 (1980), 401–407.
    • D. Gurarii and In. I. Lubich, An infinite dimensional theorem analogous to Lie’s weights theorem, Functional Anal. Appl. 7 (1973), 34–36.
    • N. Jacobson, Rational Methods in the theory of Lie algebras, Ann. of Math. 36, 4 (1935), 875–881.
    • N. Jacobson, Lie algebras, New York, 1962.
    • M. Sabac, Une généralisation du théorème de Lie, Bull. Sci. Math. 2, 95 (1971), 53–57.
    • M. Sabac, Solvable Lie algebras of operators on a Banach space, Rev. Roumaine Math. Pures Appl. 23, 3 (1978), 489–493.
    • M. Sabac, Irreducible Representations of Infinite-dimensional Lie algebras, J. Funct. Anal. 52, 3 (1983), 303–314.
    • J. P. Serre, Lie algebras and Lie groups, Lecture given at Harvard University-New York Benjamin, 1965.
    • I. Stewart, Lie Algebras Generated by Finite Dimensional Ideals, Pitman, 1975.
    • Séminaire “Sophus Lie” de l’École Normale Supérieure 1954-1955; Théorie des algèbres de Lie. Topologie des groupes de Lie, Paris, 1955.

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