# On the sign-imbalance of permutation tableaux

@article{Chen2016OnTS,
title={On the sign-imbalance of permutation tableaux},
author={Joanna N. Chen and Robin D. P. Zhou},
year={2016},
volume={86},
pages={1-18}
}
• Published 30 January 2016
• Mathematics, Computer Science
• Adv. Appl. Math.
1 Citations

## References

SHOWING 1-10 OF 18 REFERENCES

• Mathematics
Electron. J. Comb.
• 2011
It is shown that permutation tableaux without inversions coincide with L-Bell tableaux introduced by Corteel and Nadeau and that the inversion number of T equals the number of occurrences of the dashed pattern 32–1 in the reverse complement of $\pi$.
• Mathematics
• 2012
Permutation tableaux are combinatorial objects related with permutations and various statistics on them. They appeared in connection with total positivity in Grassmannians, and stationary
Abstract.We consider the relations between various permutation statistics and properties of permutation tableaux. We answer some of the open problems of Steingrímsson and Williams [8], in particular,
• Mathematics
• 2009
Introduced in the late 1960's, the asymmetric exclusion process (ASEP) is an important model from statistical mechanics which describes a system of interacting particles hopping left and right on a
• Mathematics
• 2007
In this paper we explore the combinatorics of the nonneg- ative part (G/P )≥0 of a cominuscule Grassmannian. For each such Grassmannian we define Γ — certain fillings of generalized Young diagrams