Abstract
We make a detailed study of the Lie algebras , , of triangular polynomial derivations, their injective limit , and their completion . We classify the ideals of (all of which are characteristic ideals) and use this classification to give an explicit criterion for Lie factor algebras of and to be isomorphic. We introduce two new dimensions for (Lie) algebras and their modules: the central dimension and the uniserial dimension , and show that for all , where is the first infinite ordinal. Similar results are proved for the Lie algebras and . In particular, and .
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.
