Konstantinou-Rizos, S and Mikhailov, AV (2016) Anticommutative extension of the Adler map. Journal of Physics A: Mathematical and Theoretical, 49 (30). 30LT03. pp. 1-7. ISSN 1751-8113
Abstract
We construct a noncommutative (Grassmann) extension of the well-known Adler Yang–Baxter map. It satisfies the Yang–Baxter equation, it is reversible and birational. Our extension preserves all the properties of the original map except the involutivity.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 IOP Publishing Ltd. This is an author-created, un-copyedited version of an article accepted for publication/published in Journal of Physics A: Mathematical and Theoretical. 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://dx.doi.org/10.1088/1751-8113/49/30/30LT03 |
Keywords: | Grassmann algebras; Yang – Baxter maps; Grassmann extensions of Yang – Baxter maps; Grassmann extended Adler map |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Jun 2016 12:28 |
Last Modified: | 18 Jul 2017 04:46 |
Published Version: | https://dx.doi.org/10.1088/1751-8113/49/30/30LT03 |
Status: | Published |
Publisher: | IOP Publishing |
Identification Number: | 10.1088/1751-8113/49/30/30LT03 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:100480 |