Bruhat order on partial fixed point free involutions. (Q470963)
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scientific article; zbMATH DE number 6369280
| Language | Label | Description | Also known as |
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| English | Bruhat order on partial fixed point free involutions. |
scientific article; zbMATH DE number 6369280 |
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Bruhat order on partial fixed point free involutions. (English)
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13 November 2014
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Summary: The order complex of inclusion poset \(PF_n\) of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that \(PF_n\) is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of \(PF_n\) is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.
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Bruhat-Chevalley order
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partial fixed-point-free involutions
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EL-shellability
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rank-generating functions
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skew-symmetric matrices
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