Title of article
The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras
Author/Authors
Tadahito Harima ، نويسنده , , Junzo Watanabe، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
26
From page
2545
To page
2570
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.
Keywords
Artinian algebra , Commutator algebra , Nilpotent matrix
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698535
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