On deformations and contractions of Lie algebras.
Fialowski, Alice, de Montigny, Marc (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Fialowski, Alice, de Montigny, Marc (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Galitski, L.Yu., Timashev, D.A. (1999)
Journal of Lie Theory
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Chunyue Wang, Qingcheng Zhang (2018)
Czechoslovak Mathematical Journal
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We construct a 3-Lie 2-algebra from a 3-Leibniz algebra and a Rota-Baxter 3-Lie algebra. Moreover, we give some examples of 3-Leibniz algebras.
de Graaf, W.A. (2005)
Experimental Mathematics
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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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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.
Yun Gao (1996)
Mathematische Zeitschrift
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Richter, David A. (1999)
Journal of Lie Theory
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Doubrov, Boris M., Komrakov, Boris P. (1999)
Geometry & Topology
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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...
José M. Ancochea, Rutwig Campoamor (2001)
Extracta Mathematicae
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