Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4588295 | Journal of Algebra | 2008 | 26 Pages |
Abstract
We show a number of properties of the commutator algebra of a nilpotent matrix over a field. In particular we determine the simple modules of the commutator algebra. Then the results are applied to prove that certain Artinian complete intersections have the strong Lefschetz property.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory