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The generalized Mal’cev problem on abelian subalgebras of the Chevalley algebras

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Abstract

In this paper we consider the problem on description of abelian subalgebras of largest dimension in the Chevalley algebra L Φ(K) over an arbitrary field K.

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References

  1. A. I. Mal’cev, Izv. Akad. Nauk SSSR. Ser.Mat. 8 (1945).

    Google Scholar 

  2. A. S. Kondratiev, Uspekhi Mat. Nauk 41 (1986).

    Google Scholar 

  3. G. S. Suleimanova, Izvestiya IrkGU. Ser. Mat. 6 (2) (2013).

    Google Scholar 

  4. V. M. Levchuk and G. S. Suleimanova, Doklady Mathematics 77 (2008).

    Google Scholar 

  5. V. M. Levchuk and G. S. Suleimanova, J. of Algebra 349, 1(1) 98–116 (2012).

    Article  MathSciNet  MATH  Google Scholar 

  6. V. M. Levchuk and G. S. Suleimanova, Proceed. of the Steklov Inst. Math., Suppl. 3 (2009).

    Google Scholar 

  7. V. M. Levchuk, Algebra and Logic 29 (2), 97 (1990); 29 (3), 211 (1990).

    Article  MathSciNet  MATH  Google Scholar 

  8. N. Bourbaki, Groupes et algebres de Lie (Chapt. IV–VI) (Hermann, Paris, 1968).

    MATH  Google Scholar 

  9. V. M. Levchuk, Math. Notes, 42 (5) (1987).

    Article  MathSciNet  Google Scholar 

  10. V. M. Levchuk, In: Groups and Graphs, Math. Forum (Itogi nauki), Vladikavkaz (Inst. Math.)—IMM Ural Branch RAS, Vol. 6, 2012 [in Russian].

    Google Scholar 

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Levchuk, V.M., Suleimanova, G.S. The generalized Mal’cev problem on abelian subalgebras of the Chevalley algebras. Lobachevskii J Math 36, 384–388 (2015). https://doi.org/10.1134/S1995080215040083

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  • DOI: https://doi.org/10.1134/S1995080215040083

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