A Consecutive Lehmer Code for Parabolic Quotients of the Symmetric Group.
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
In this article we define an encoding for parabolic permutations that distin-guishes between parabolic 231-avoiding permutations. We prove that the compo-nentwise order on these codes realizes the parabolic Tamari lattice, and conclude a direct and simple proof that the parabolic Tamari lattice is isomorphic to a certain ν-Tamari lattice, with an explicit bijection. Furthermore, we prove that this bijec-tion is closely related to the map Θ used when the lattice isomorphism was first proved in (Ceballos, Fang and Mühle, 2020), settling an open problem therein.
Details
Original language | English |
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Article number | P3.53 |
Number of pages | 28 |
Journal | The Electronic journal of combinatorics |
Volume | 28 |
Issue number | 3 |
Publication status | Published - 2021 |
Peer-reviewed | Yes |
External IDs
Scopus | 85115667330 |
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