Abstract
The definitions, the first properties, and some examples of characteristically nilpotent Lie algebras have been given in Chapter 2 (see Section III in this chapter). Here we study these algebras from a geometrical point of view, by considering them as points of the variety N n. This study leads us to a stupendous result: almost all nilpotent Lie algebras are characteristically nilpotents. Then the determination of the noncharacteristically nilpotents seems natural. We conclude this chapter by giving and describing this family of noncharacteristically nilpotent filiform Lie algebras.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1996 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Goze, M., Khakimdjanov, Y. (1996). Characteristically Nilpotent Lie Algebras. In: Nilpotent Lie Algebras. Mathematics and Its Applications, vol 361. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2432-6_7
Download citation
DOI: https://doi.org/10.1007/978-94-017-2432-6_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4671-0
Online ISBN: 978-94-017-2432-6
eBook Packages: Springer Book Archive