Literature cited
A. Borel, Linear Algebraic Groups, W. A. Benjamin, Inc., New York-Amsterdam (1969).
N. Bourbaki, Groups and Lie Algebras, Chapters IV–VI [Russian translation], Mir, Moscow (1972), Chaps. IV–VI.
N. Bourbaki, Groups and Lie Algebras, Chapters I–III [Russian translation], Mir. Moscow (1976).
V. V. Morozov, "Classification of nilpotent Lie algebras of sixth order," Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 161–171 (1958).
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).
Yu. B. Khakimdzhanov, "Derivations of some nilpotent Lie algebras," Izv. Vyssh. Uchben. Zaved., Mat., No. 1, 100–110 (1976).
F. Bratzlavsky, "Une algebre de Lie caracteristiquement nilpotente de dimension 6," C. R. Acad. Scie. Paris, Ser. A,276, No. 15, 1035–1037 (1973).
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).
J. Dixmier, "Sur les representations unitaires des groupes de Lie nilpotents. III," Can. J. Math.,10, 321–348 (1958).
J. Dixmier and W. G. Lister, "Derivations of nilpotent Lie algebras," Proc. Am. Math. Soc.,8, 155–158 (1957).
J. L. Dyer, "A nilpotent Lie algebra with nilpotent automorphism group," Bull. Am. Math. Soc.,76, No. 1, 52–56 (1970).
G. Favre, "Une algebre de Lie caracteristiquement nilpotente de dimension 7," C. R. Acad. Sci., Paris, Ser. A,274, 1338–1339 (1972).
M. Gerstenhaber, "On the deformation of rings and algebras," Ann. Math.,79, 59–103 (1964).
You. B. Khakimdzhanov (Hakimjanov), "Cohomologies et deformations de certaines algebres de Lie nilpotentes," Commun. Algebra,16, No. 10, 2149–2192 (1988).
E. Luks, "What is the typical nilpotent Lie algebra?" in: Computers in Nonassociative Rings and Algebras, Academic Press, New York (1977).
G. Leger and S. Togo, "Characteristically nilpotent Lie algebras," Duke Math. J.,16, 623–628 (1959).
T. Ravisankar, "Characteristically nilpotent Lie algebras," Duke Math. J.,26, 623–628 (1959).
S. Toto, "A theorem on characteristically nilpotent Lie algebras," J. Sci. Hiroshima Univ., Ser. A,33, 209–212 (1969).
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).
S. Yamaguchi, "On some classes of nilpotent Lie algebras and their automorphism groups," Mem. Fac. Sci. Kyushu Univ.,35, No. 2, 341–351 (1981).
Additional information
Translated from Algebra i Logika, Vol. 28, No. 6, pp. 722–737, November–December, 1989.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01980238