Skip to main content
Log in

Characteristically nilpotent Lie algebras

  • Published:
Algebra and Logic Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature cited

  1. A. Borel, Linear Algebraic Groups, W. A. Benjamin, Inc., New York-Amsterdam (1969).

    Google Scholar 

  2. N. Bourbaki, Groups and Lie Algebras, Chapters IV–VI [Russian translation], Mir, Moscow (1972), Chaps. IV–VI.

    Google Scholar 

  3. N. Bourbaki, Groups and Lie Algebras, Chapters I–III [Russian translation], Mir. Moscow (1976).

    Google Scholar 

  4. V. V. Morozov, "Classification of nilpotent Lie algebras of sixth order," Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 161–171 (1958).

  5. Yu. A. Neretin, "An estimate for the number of parameters defining an n-dimensional algebra," Izv. Akad. Nauk SSSR, Ser. Mat.,51, No. 2, 306–318 (1987).

    Google Scholar 

  6. Yu. B. Khakimdzhanov, "Derivations of some nilpotent Lie algebras," Izv. Vyssh. Uchben. Zaved., Mat., No. 1, 100–110 (1976).

  7. F. Bratzlavsky, "Une algebre de Lie caracteristiquement nilpotente de dimension 6," C. R. Acad. Scie. Paris, Ser. A,276, No. 15, 1035–1037 (1973).

    Google Scholar 

  8. R. Carles, "Varietes des algebres de Lie de dimension inferieure ou egale a 7," C. R. Acad. Sci. Paris, Ser. A,289, 263–266 (1979).

    Google Scholar 

  9. J. Dixmier, "Sur les representations unitaires des groupes de Lie nilpotents. III," Can. J. Math.,10, 321–348 (1958).

    Google Scholar 

  10. J. Dixmier and W. G. Lister, "Derivations of nilpotent Lie algebras," Proc. Am. Math. Soc.,8, 155–158 (1957).

    Google Scholar 

  11. J. L. Dyer, "A nilpotent Lie algebra with nilpotent automorphism group," Bull. Am. Math. Soc.,76, No. 1, 52–56 (1970).

    Google Scholar 

  12. G. Favre, "Une algebre de Lie caracteristiquement nilpotente de dimension 7," C. R. Acad. Sci., Paris, Ser. A,274, 1338–1339 (1972).

    Google Scholar 

  13. M. Gerstenhaber, "On the deformation of rings and algebras," Ann. Math.,79, 59–103 (1964).

    Google Scholar 

  14. You. B. Khakimdzhanov (Hakimjanov), "Cohomologies et deformations de certaines algebres de Lie nilpotentes," Commun. Algebra,16, No. 10, 2149–2192 (1988).

    Google Scholar 

  15. E. Luks, "What is the typical nilpotent Lie algebra?" in: Computers in Nonassociative Rings and Algebras, Academic Press, New York (1977).

    Google Scholar 

  16. G. Leger and S. Togo, "Characteristically nilpotent Lie algebras," Duke Math. J.,16, 623–628 (1959).

    Article  Google Scholar 

  17. T. Ravisankar, "Characteristically nilpotent Lie algebras," Duke Math. J.,26, 623–628 (1959).

    Article  Google Scholar 

  18. S. Toto, "A theorem on characteristically nilpotent Lie algebras," J. Sci. Hiroshima Univ., Ser. A,33, 209–212 (1969).

    Google Scholar 

  19. M. Vergne, "Cohomologie des algebres de Lie nilpotentes. Application a l'etude de la variete des algebres de Lie nilpotentes," Bull. Soc. Math. France,98, 81–116 (1970).

    Google Scholar 

  20. S. Yamaguchi, "On some classes of nilpotent Lie algebras and their automorphism groups," Mem. Fac. Sci. Kyushu Univ.,35, No. 2, 341–351 (1981).

    Google Scholar 

Download references

Authors

Additional information

Translated from Algebra i Logika, Vol. 28, No. 6, pp. 722–737, November–December, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Khakimdzhanov, Y.B. Characteristically nilpotent Lie algebras. Algebra and Logic 28, 475–485 (1989). https://doi.org/10.1007/BF01980238

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01980238

Keywords

Navigation