On classification of metabelian Lie algebras.
Galitski, L.Yu., Timashev, D.A. (1999)
Journal of Lie Theory
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Galitski, L.Yu., Timashev, D.A. (1999)
Journal of Lie Theory
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Paolo Casati (2011)
Banach Center Publications
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In this paper we construct on truncated current Lie algebras integrable hierarchies of partial differential equations, which generalize the Drinfeld-Sokolov hierarchies defined on Kac-Moody Lie algebras.
([unknown])
Algebra i Logika
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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...
Bruce Blackadar, Ola Bratteli (1992)
Mathematische Annalen
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George A. Elliott (1993)
Journal für die reine und angewandte Mathematik
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Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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S. Berman, R.V. Moody (1992)
Inventiones mathematicae
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B. Blackadar, M. Dadarlat, M. Rordam (1991)
Mathematica Scandinavica
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Svobodová, Milena (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Yun Gao (1996)
Mathematische Zeitschrift
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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]).