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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
