Counting symmetric nilpotent matrices (Q405186)
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scientific article; zbMATH DE number 6340171
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Counting symmetric nilpotent matrices |
scientific article; zbMATH DE number 6340171 |
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Counting symmetric nilpotent matrices (English)
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4 September 2014
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Summary: We determine the number of nilpotent matrices of order \(n\) over \(\mathbb{F}_q\) that are self-adjoint for a given nondegenerate symmetric bilinear form, and in particular find the number of symmetric nilpotent matrices.
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endomorphism
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enumeration
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nilpotent matrices
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nondegenerate symmetric bilinear form
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