Alignments, crossings, cycles, inversions, and weak Bruhat order in permutation tableaux of type $B$

Alignments, crossings and inversions of signed permutations are realized in the corresponding permutation tableaux of type $B$, and the cycles of signed permutations are understood in the corresponding bare tableaux of type $B$. We find the relation between the number of alignments, crossings and ot...

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Bibliographic Details
Main Authors: Soojin Cho, Kyoungsuk Park
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2015-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2484/pdf