An algorithm for analysis of the structure of finitely presented Lie algebras.
Gerdt, Vladimir P., Kornyak, Vladimir V. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Displaying similar documents to “Finely homogeneous computations in free Lie algebras.”
An algorithm for analysis of the structure of finitely presented Lie algebras.
Some remarks on the Akivis algebras and the Pre-Lie algebras
Yuqun Chen, Yu Li (2011)
Czechoslovak Mathematical Journal
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In this paper, by using the Composition-Diamond lemma for non-associative algebras invented by A. I. Shirshov in 1962, we give Gröbner-Shirshov bases for free Pre-Lie algebras and the universal enveloping non-associative algebra of an Akivis algebra, respectively. As applications, we show I. P. Shestakov’s result that any Akivis algebra is linear and D. Segal’s result that the set of all good words in forms a linear basis of the free Pre-Lie algebra generated by the set . For completeness,...
On maximal subalgebras of central simple Malcev algebras.
Alberto C. Elduque Palomo (1986)
Extracta Mathematicae
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In this paper the structure of the maximal elements of the lattice of subalgebras of central simple non-Lie Malcev algebras is considered. Such maximal subalgebras are studied in two ways: first by using theoretical results concerning Malcev algebras, and second by using the close connection between these simple non-Lie Malcev algebras and the Cayley-Dickson algebras, which have been extensively studied (see [4]).
A note on 2-step subideals of Lie algebras
Ian Stewart (1973)
Compositio Mathematica
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О полинильпотентных алгебрах Ли, заданных одним определяющим соотношением
В.В. Талапов (1983)
Sibirskij matematiceskij zurnal
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On classification of metabelian Lie algebras.
Galitski, L.Yu., Timashev, D.A. (1999)
Journal of Lie Theory
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Order in absolutely free and related algebras
K. H. Diener (1966)
Colloquium Mathematicae
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-gradations of Lie algebras and infinitesimal generators.
Richter, David A. (1999)
Journal of Lie Theory
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Computations in finite-dimensional Lie algebras.
Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Restricted and quasi-toral restricted Lie-Rinehart algebras
Bing Sun, Liangyun Chen (2015)
Open Mathematics
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In this paper, we introduce the definition of restrictable Lie-Rinehart algebras, the concept of restrictability is by far more tractable than that of a restricted Lie-Rinehart algebra. Moreover, we obtain some properties of p-mappings and restrictable Lie-Rinehart algebras. Finally, we give some sufficient conditions for the commutativity of quasi-toral restricted Lie-Rinehart algebras and study how a quasi-toral restricted Lie-Rinehart algebra with zero center and of minimal dimension...