| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4600385 | Linear Algebra and its Applications | 2013 | 17 Pages |
Abstract
We study the structure of arbitrary split Leibniz superalgebras. We show that any of such superalgebras L is of the form L=U+∑jIj with U a subspace of an abelian (graded) subalgebra H and any Ij a well described (graded) ideal of L satisfying [Ij,Ik]=0 if j≠k. In the case of L being of maximal length, the simplicity of L is also characterized in terms of connections of roots.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
