Bury, RT and Mikhailov, AV (2021) Automorphic Lie algebras and corresponding integrable systems. Differential Geometry and its Applications, 74. 101710. ISSN 0926-2245
Abstract
We study automorphic Lie algebras and their applications to integrable systems. Automorphic Lie algebras are a natural generalisation of celebrated Kac-Moody algebras to the case when the group of automorphisms is not cyclic. They are infinite dimensional and almost graded. We formulate the concept of a graded isomorphism and classify sl(2, C) based automorphic Lie algebras corresponding to all finite reduction groups. We show that hierarchies of integrable systems, their Lax representations and master symmetries can be naturally formulated in terms of automorphic Lie algebras.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 Elsevier Ltd. All rights reserved. This manuscript version is made available under the CC-BY-NC-ND 4.0 license. |
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) |
Funding Information: | Funder Grant number EPSRC (Engineering and Physical Sciences Research Council) EP/P012655/1 |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Feb 2025 11:54 |
Last Modified: | 25 Feb 2025 17:22 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.difgeo.2020.101710 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:167302 |