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Combinatorics of the permutation tableaux of type B
[article]
2012
arXiv
pre-print
Permutation tableaux are combinatorial objects related with permutations and various statistics on them. They appeared in connection with total positivity in Grassmannians, and stationary probabilities in a PASEP model. In particular they gave rise to an interesting q-analog of Eulerian numbers. The purpose of this article is to study some combinatorial properties of type B permutation tableaux, defined by Lam and Williams, and links with signed permutation statistics. We show that many of the
arXiv:1203.0154v1
fatcat:fqwhuuwxorbh3jt7wmcrbzya5i