Journal of Lie Theory Vol. 12, No. 2, pp. 423447 (2002) 

Complete Filtered Lie Algebras over a Vector Space of Dimension TwoThomas W. JudsonThomas W. JudsonDepartment of Mathematics and Computer Science University of Puget Sound 1500 North Warner Street Tacoma, Washington 98416 tjudson@ups.edu Abstract: There may exist many nonisomorphic complete filtered Lie algebras with the same graded algebra. In our article: {\it Complete filtered Lie algebras and the Spencer cohomology}, J. Algebra {\bf 125} (1989), 66109, we found elements in the Spencer cohomology that determined all complete filtered Lie algebras having certain graded algebra provided that obstructions do not exist in the cohomology at higher levels. In this paper we use the Spencer cohomology to classify all graded and filtered algebras over a real vector space of dimension two. Full text of the article:
Electronic fulltext finalized on: 6 May 2002. This page was last modified: 21 May 2002.
© 2002 Heldermann Verlag
