Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids
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...
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ftdatacite:10.48550/arxiv.1611.04151 2023-05-15T18:30:31+02:00 Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids Cain, Alan J. Malheiro, António 2016 https://dx.doi.org/10.48550/arxiv.1611.04151 https://arxiv.org/abs/1611.04151 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Combinatorics math.CO Group Theory math.GR FOS Mathematics 05E99 Primary 20M05 Secondary Preprint Article article CreativeWork 2016 ftdatacite https://doi.org/10.48550/arxiv.1611.04151 2022-04-01T11:22:29Z 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 shortest identities satisfied by these monoids. The existing state of knowledge is discussed for the plactic monoid and left and right patience sorting monoids. : 19 pages. Minor updates and corrections Report taiga DataCite Metadata Store (German National Library of Science and Technology) Patience ENVELOPE(-68.933,-68.933,-67.750,-67.750) Baxter ENVELOPE(162.533,162.533,-74.367,-74.367) |
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Open Polar |
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DataCite Metadata Store (German National Library of Science and Technology) |
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ftdatacite |
language |
unknown |
topic |
Combinatorics math.CO Group Theory math.GR FOS Mathematics 05E99 Primary 20M05 Secondary |
spellingShingle |
Combinatorics math.CO Group Theory math.GR FOS Mathematics 05E99 Primary 20M05 Secondary Cain, Alan J. Malheiro, António Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids |
topic_facet |
Combinatorics math.CO Group Theory math.GR FOS Mathematics 05E99 Primary 20M05 Secondary |
description |
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 shortest identities satisfied by these monoids. The existing state of knowledge is discussed for the plactic monoid and left and right patience sorting monoids. : 19 pages. Minor updates and corrections |
format |
Report |
author |
Cain, Alan J. Malheiro, António |
author_facet |
Cain, Alan J. Malheiro, António |
author_sort |
Cain, Alan J. |
title |
Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids |
title_short |
Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids |
title_full |
Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids |
title_fullStr |
Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids |
title_full_unstemmed |
Identities in plactic, hypoplactic, sylvester, Baxter, and related monoids |
title_sort |
identities in plactic, hypoplactic, sylvester, baxter, and related monoids |
publisher |
arXiv |
publishDate |
2016 |
url |
https://dx.doi.org/10.48550/arxiv.1611.04151 https://arxiv.org/abs/1611.04151 |
long_lat |
ENVELOPE(-68.933,-68.933,-67.750,-67.750) ENVELOPE(162.533,162.533,-74.367,-74.367) |
geographic |
Patience Baxter |
geographic_facet |
Patience Baxter |
genre |
taiga |
genre_facet |
taiga |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1611.04151 |
_version_ |
1766214040035524608 |