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arXiv · 1206.6574

The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras

Tadahito Harima·Junzo Watanabe
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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 Lefscehtz property.

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Tadahito Harima, Junzo Watanabe. 2012-06-28. The commutator algebra of a nilpotent matrix and an application to the theory of commutative Artinian algebras. https://arxiv.org/abs/1206.6574

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