Abstract
In this chapter we develop the structure theory of the general semisimple Lie algebra over ℂ (the Weyl-Chevalley normal form) and bring the complete classification of semisimple Lie algebras (after W. Killing and E. Cartan). — Throughout g is a complex Lie algebra, of dimension n, semisimple from §2.3 on. The concepts from linear algebra employed are described briefly in the Appendix.
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© 1990 Springer-Verlag New York Inc.
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Samelson, H. (1990). Structure Theory. In: Notes on Lie Algebras. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9014-5_2
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DOI: https://doi.org/10.1007/978-1-4613-9014-5_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-97264-0
Online ISBN: 978-1-4613-9014-5
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