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Matrices over finite fields with restricted entries

This site contains data and code related to the papers: 

• • Rook theory of the finite general linear group, Joel Brewster Lewis and Alejandro H. Morales, 2017, arxiv:1707.08192

• Combinatorics of diagrams of permutations, Joel Brewster Lewis and Alejandro H. Morales, Journal of Combinatorial Theory Series A, Vol 137 (2016), 273-306, arXiv:1405.1608

  • Counting matrices over finite fields with support on skew Young diagrams and complements of Rothe diagrams

  • Aaron J. Klein, Joel Brewster Lewis, and Alejandro H. Morales, J. Algebraic Combinatorics 39 (2014), pp. 429-456, arXiv:1203.5804

• Matrices with restriced entries and q-analogues of permutations, Joel Brewster Lewis, Ricky Liu, Alejandro H. Morales, Greta Panova, Steven V Sam, Yan X Zhang, Journal of Combinatorics Vol 2, No 3 p 355-396, arXiv:1011.4539 

Use the tabs above to access tables of data of Poincare polynomials, rook polynomials, and matrices with certain entries restricted to be 0, and the code used to generate these data. There are also slides of talks about this work.

maintained by Joel Brewster Lewis, Alejandro H. Morales