A computer-based approach to the classification of nilpotent Lie algebras.
Schneider, Csaba (2005)
Experimental Mathematics
Similarity:
Schneider, Csaba (2005)
Experimental Mathematics
Similarity:
Pilar Benito, Daniel de-la-Concepción (2014)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
Any nilpotent Lie algebra is a quotient of a free nilpotent Lie algebra of the same nilindex and type. In this paper we review some nice features of the class of free nilpotent Lie algebras. We will focus on the survey of Lie algebras of derivations and groups of automorphisms of this class of algebras. Three research projects on nilpotent Lie algebras will be mentioned.
Francisco J. Echarte, José R. Gómez, Juan Núñez (1994)
Extracta Mathematicae
Similarity:
Burde, Dietrich (1999)
Journal of Lie Theory
Similarity:
Cabezas, J.M., Gómez, J.R. (2001)
Journal of Lie Theory
Similarity:
Fιndιk, Şehmus (2010)
Serdica Mathematical Journal
Similarity:
2000 Mathematics Subject Classification: 17B01, 17B30, 17B40. Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c). ...
Peyman Niroomand (2011)
Open Mathematics
Similarity:
Let L be an n-dimensional non-abelian nilpotent Lie algebra and where M(L) is the Schur multiplier of L. In [Niroomand P., Russo F., A note on the Schur multiplier of a nilpotent Lie algebra, Comm. Algebra (in press)] it has been shown that s(L) ≥ 0 and the structure of all nilpotent Lie algebras has been determined when s(L) = 0. In the present paper, we will characterize all finite dimensional nilpotent Lie algebras with s(L) = 1; 2.
Nicolas Spaltenstein (1982)
Mathematische Zeitschrift
Similarity:
Vesselin Drensky (1992)
Manuscripta mathematica
Similarity:
Jan de Ruiter (1972)
Compositio Mathematica
Similarity:
Ralph K. Amayo (1972)
Compositio Mathematica
Similarity: