Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids

• Main Authors: Cain, Alan J., Malheiro, António
• Format: Report
• Language: unknown
• Published: arXiv 2016
• Subjects: Combinatorics math.CO; Group Theory math.GR; FOS Mathematics; 05E99 Primary 20M05 Secondary; Patience; Baxter; taiga
• Online Access: https://dx.doi.org/10.48550/arxiv.1611.04151; https://arxiv.org/abs/1611.04151

This paper considers whether non-trivial identities are satisfied by certain `plactic-like' monoids that, like the plactic monoid, are closely connected to combinatorics. New results show that the hypoplactic, sylvester, Baxter, stalactic, and taiga monoids satisfy identities, and indeed give s...