Scalene Yang–Baxter maps and Lax triples

Konstantinou-Rizos, Sotiris; Kouloukas, Theodoros E.

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Konstantinou-Rizos, Sotiris and Kouloukas, Theodoros E. (2026) Scalene Yang–Baxter maps and Lax triples. Russian Mathematical Surveys, 81 (5) (491). pp. 185-186. ISSN 1468-4829

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Abstract

In this work, we explore a generalisation of the set-theoretical Yang–Baxter equation and study the relation of its solutions to matrix refactorisation problems. The proposed term ‘scalene’ refers to the asymmetric action of the three maps that appear in the equation.

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11899:58819

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11899:58819

Russ__Surv_.pdf - Accepted Version
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Details

Title:

Scalene Yang–Baxter maps and Lax triples

Creators:

Konstantinou-Rizos, Sotiris and Kouloukas, Theodoros E.

Identification Number:

10.4213/rm10338

Official URL:

https://doi.org/10.4213/rm10338

Date:

1 October 2026

Subjects:

500 Natural Sciences and Mathematics > 510 Mathematics

Department:

School of Computing and Digital Media (SCDM)

Publisher:

IOP Publishing in partnership with Steklov Mathematical Institute of the Russian Academy of Sciences

Uncontrolled Keywords:

Yang–Baxter equation; scalene; Lax triples; maps

Additional Information:

Copyright © 2026 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication/published in Russian Mathematical Surveys. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at https://doi.org/10.4213/rm10338

Record

URI:

https://repository.londonmet.ac.uk/id/eprint/11899

Item Type:

Article

Depositing User:

Theodoros Kouloukas

Date Deposited:

06 Oct 2026 08:58

Revision:

Last Modified:

06 Oct 2026 08:58