Abstract
The principal task in this paper is giving some explicit constructions of nonsolvable Lie algebras —over fields of characteristic zero— in which the ideals are a n-element chain. Two different procedures are used in order to get the constructions: the first one depends on the radical of the Lie algebra and the second on the semisimple Levi factor.
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References
Benito, M.P.: Lie algebras in which the lattice formed by the ideals is a chain, Comm. Alg. 20 (1992), 93–108.
Jacobson, N.: Lie Algebras, Wiley-Interscience, New York, 1962.
Jacobson, N.: Lectures in Abstract Algebras, Vol. II, Springer-Verlag, 1975.
Humphreys, J.E.: Introduction to Lie Algebras and Representation Theory, Springer-Verlag, 1972.
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© 1994 Springer Science+Business Media Dordrecht
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Benito, M.P. (1994). On Constructions of Nonsolvable Lie Algebras Whose Ideals are in Chain. In: González, S. (eds) Non-Associative Algebra and Its Applications. Mathematics and Its Applications, vol 303. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0990-1_5
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DOI: https://doi.org/10.1007/978-94-011-0990-1_5
Publisher Name: Springer, Dordrecht
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