The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras
classification
🧮 math.AC
keywords
algebracommutatorartinianmatrixnilpotentalgebrasapplicationapplied
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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 Lefscehtz property.
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