New Perspectives in Lie Algebras

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Algebra and Number Theory".

Deadline for manuscript submissions: 31 January 2025 | Viewed by 923

Special Issue Editor


E-Mail Website
Guest Editor
Instituto de Matemática Interdisciplinar, Departamento de Geometría y Topología, Universidad Complutense de Madrid, Plaza de Ciencias 3, E-28040 Madrid, Spain
Interests: real and complex lie algebras and groups; differential forms and distribution theory; contractions and deformations; casimir invariants; symmetries in physics; representation theory; lie group analysis of differential equations; lagrangian and hamiltonian formalism in classical mechanics; integrable and superintegrable systems; symmetry-conditioned perturbation theory; inverse problems in dynamics; supersymmetry
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Lie algebras constitute one of the most versatile tools in modern mathematics, appearing in many different disciplines like Mechanics, Differential Geometry, Differential Equations or Quantum Theories, being also a relevant technique in Control Theory or Robotics, among others.

We invite researchers to contribute either original papers or review articles concerning currently open problems within the theory of Lie algebras/superalgebras, finite or infinite, and/or dealing with its applications in other disciplines, including engineering sciences.

Articles with strong geometrical backgrounds or describing new computational methods in representation or structural theory, as well as in applications, are especially welcome. Beyond the forementioned topics, the Special Issue is also open to receiving further ideas and applications.

Dr. Rutwig Campoamor-Stursberg
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • structure theory of Lie algebras and superalgebras
  • classification problems
  • representation theory
  • realizations by vector fields or differential operators
  • computational methods
  • lie algebras and symmetries of systems
  • applications to other natural sciences

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue polices can be found here.

Published Papers (1 paper)

Order results
Result details
Select all
Export citation of selected articles as:

Research

11 pages, 248 KiB  
Article
An Integrated Integrable Hierarchy Arising from a Broadened Ablowitz–Kaup–Newell–Segur Scenario
by Wen-Xiu Ma
Axioms 2024, 13(8), 563; https://doi.org/10.3390/axioms13080563 - 19 Aug 2024
Cited by 1 | Viewed by 531
Abstract
This study introduces a 4×4 matrix eigenvalue problem and develops an integrable hierarchy with a bi-Hamiltonian structure. Integrability is ensured by the zero-curvature condition, while the Hamiltonian structure is supported by the trace identity. Explicit derivations yield second-order and third-order integrable [...] Read more.
This study introduces a 4×4 matrix eigenvalue problem and develops an integrable hierarchy with a bi-Hamiltonian structure. Integrability is ensured by the zero-curvature condition, while the Hamiltonian structure is supported by the trace identity. Explicit derivations yield second-order and third-order integrable equations, illustrating the integrable hierarchy. Full article
(This article belongs to the Special Issue New Perspectives in Lie Algebras)
Back to TopTop