Symmetry in Lie Groups and Lie Algebras

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Mathematics".

Deadline for manuscript submissions: 28 February 2026 | Viewed by 14

Special Issue Editors


E-Mail Website
Guest Editor
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
Interests: Lie algebra; Lie superalgebra; hom-type algebra
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
Interests: Lie algebra; Lie superalgebra; quantum group

Special Issue Information

Dear Colleagues,

Symmetry is a fundamental concept in mathematics and physics and is deeply connected to the study of Lie groups and Lie algebras. Lie groups, which are smooth manifolds with group structures, and their associated Lie algebras, which describe infinitesimal symmetries, provide powerful tools for understanding continuous symmetries in geometry, differential equations, quantum mechanics, and theoretical physics.

This Special Issue aims to explore the interplay between symmetry principles and Lie theoretic methods, highlighting their applications in pure and applied mathematics, mathematical physics, and related disciplines. Topics may include theoretical developments, computational approaches, and applications in fields such as integrable systems, gauge theories, and geometric mechanics.

We look forward to your submissions.

Prof. Dr. Liangyun Chen
Dr. Yao Ma
Guest Editors

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. Symmetry 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

  • Lie groups and Lie algebras
  • representation theory
  • integrable systems
  • infinitesimal deformations
  • symbolic computations

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Published Papers

This special issue is now open for submission.
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