Bruhat order on partial fixed point free involutions

Mahir Bilen Can, Yonah Cherniavsky, Tim Twelbeck

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The order complex of inclusion poset PFn of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that PFn is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of PFn is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.

Original languageEnglish
Article numberP4.34
JournalElectronic Journal of Combinatorics
Issue number4
StatePublished - 13 Nov 2014


  • Bruhat-Chevalley order
  • EL-shellability
  • Partial fixed-point-free involutions
  • Rank generating function


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