On a connection between nilpotent groups and Lie rings.
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On centerless commutative automorphic loops
Gábor P. Nagy (2014)
Commentationes Mathematicae Universitatis Carolinae
In this short paper, we survey the results on commutative automorphic loops and give a new construction method. Using this method, we present new classes of commutative automorphic loops of exponent with trivial center.
On dimension of the Schur multiplier of nilpotent Lie algebras
Peyman Niroomand (2011)
Open Mathematics
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.
On prime -graded Lie algebras of growth one.
Martínez, Consuelo (2005)
Journal of Lie Theory
On Some Generalizations of Lie Algebras
Corina Reischer, Dan A. Simovici (1972)
Matematický časopis
On the classification of -dimensional -manifold algebras
Zhiqi Chen, Jifu Li, Ming Ding (2022)
Czechoslovak Mathematical Journal
-manifold algebras are focused on the algebraic properties of the tangent sheaf of -manifolds. The local classification of 3-dimensional -manifolds has been given in A. Basalaev, C. Hertling (2021). We study the classification of 3-dimensional -manifold algebras over the complex field .
On the constructions of Tits and Faulkner: an isomorphism theorem.
Nath, Sudhir R. (2001)
International Journal of Mathematics and Mathematical Sciences
On the definition of the dual Lie coalgebra of a Lie algebra.
Bertin Diarra (1995)
Publicacions Matemàtiques
Let L be a Lie algebra over a field K. The dual Lie coalgebra Lº of L has been defined by W. Michaelis to be the sum of all good subspaces V of the dual space L* of L: V is good if tm(V) ⊂ V ⊗ V, where m is the multiplication of L. We show that Lº = tm-1(L* ⊗ L*) as in the associative case.
On the spectral set of a solvable Lie algebra of operators.
Boasso, Enrico (1997)
Portugaliae Mathematica
On the Structure of Reduced ...-Ternary Algebras of Degree > 2.
Wolfgang Hein (1981)
Mathematische Zeitschrift
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