Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583786 | Journal of Algebra | 2016 | 24 Pages |
Abstract
In this paper, we consider the open question: is the cortex of the dual of a nilpotent Lie algebra an algebraic set? We give a partial answer by considering the class of two-step nilpotent Lie algebra g. For this class of Lie algebras we give an explicit algorithm for finding its corresponding cortex. By the way, we prove that either the cortex coincides with the zero set of invariant homogeneous polynomials and in this case is z⥠where z denotes the center of g, or it is a proper projective algebraic subset of zâ¥. Finally we materialize our algorithm on examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Béchir Dali,