-gradations of Lie algebras and infinitesimal generators.
Richter, David A. (1999)
Journal of Lie Theory
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Richter, David A. (1999)
Journal of Lie Theory
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Karl H. Hofmann, Joachim Hilgert (1988)
Semigroup forum
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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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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.
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.
Kenny De Commer (2015)
Banach Center Publications
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On the level of Lie algebras, the contraction procedure is a method to create a new Lie algebra from a given Lie algebra by rescaling generators and letting the scaling parameter tend to zero. One of the most well-known examples is the contraction from 𝔰𝔲(2) to 𝔢(2), the Lie algebra of upper-triangular matrices with zero trace and purely imaginary diagonal. In this paper, we will consider an extension of this contraction by taking also into consideration the natural bialgebra structures...
Nesterenko, Maryna O. (2006)
International Journal of Mathematics and Mathematical Sciences
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Galitski, L.Yu., Timashev, D.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...
Cordero, Luis A., Fernández, Marisa, Gray, Alfred (1990)
Portugaliae mathematica
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Crandall, Gordon, Dodziuk, Jósef (2002)
Journal of Lie Theory
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Dev Karan Singh, Mani Shankar Pandey, Shiv Datt Kumar (2024)
Czechoslovak Mathematical Journal
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This paper aims to introduce and explore the concept of Lie perfect multiplicative Lie algebras, with a particular focus on their connections to the central extension theory of multiplicative Lie algebras. The primary objective is to establish and provide proof for a range of results derived from Lie perfect multiplicative Lie algebras. Furthermore, the study extends the notion of Lie nilpotency by introducing and examining the concept of local nilpotency within multiplicative Lie algebras....
Hernández, I., Peniche, R. (2008)
International Journal of Mathematics and Mathematical Sciences
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