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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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...
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.
Daniel Beltiţă, Karl-Hermann Neeb (2008)
Studia Mathematica
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We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion...
Cohen, A.M., de Graaf, W.A., Rónyai, L. (1997)
Discrete Mathematics and Theoretical Computer Science. DMTCS [electronic only]
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Weiyan Yu (2016)
Special Matrices
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In this paper we prove that every bijection preserving Lie products from a triangular algebra onto a normal triangular algebra is additive modulo centre. As an application, we described the form of bijections preserving Lie products on nest algebras and block upper triangular matrix algebras.
Ivan P. Shestakov, Efim Zelmanov (2008)
Journal of the European Mathematical Society
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Generalizing Petrogradsky’s construction, we give examples of infinite-dimensional nil Lie algebras of finite Gelfand–Kirillov dimension over any field of positive characteristic.
Mohammad Reza Rismanchian (2015)
Colloquium Mathematicae
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The aim of this work is to obtain the structure of c-covers of c-capable Lie algebras. We also obtain some results on the existence of c-covers and, under some assumptions, we prove the absence of c-covers of Lie algebras.
Agaoka, Y. (1999)
Lobachevskii Journal of Mathematics
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Ian Stewart (1973)
Compositio Mathematica
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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]).
Kirillov, A.A. (2000)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Crandall, Gordon, Dodziuk, Jósef (2002)
Journal of Lie Theory
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W. Laskar (1977)
Recherche Coopérative sur Programme n°25
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Ciobanu, Camelia (2007)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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