Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
5.4
2.2
Journals
Symmetry
Special Issues
Ternary and Z3-Graded Algebras in Physics
share announcement

Ternary and Z3-Graded Algebras in Physics

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

Deadline for manuscript submissions: closed (15 May 2022) | Viewed by 2116

Special Issue Editor

Prof. Dr. Richard Kerner

E-Mail Website
Guest Editor
Laboratory of Theoretical Physics of Condensed Matter, Sorbonne-University and URA CNRS 7600, France
Interests: theoretical and mathematical physics; classical and quantum field theory; elementary particle physics; condensed matter physics (glass and quasicrystals); gravitation and cosmology; mathematical biology; mechanics of continuous media gravitation; particles and fields; condensed matter; mathematical physics

Special Issue Information

Dear Colleagues,

In past decades, Z3-graded algebraical structures have been the object of raising interest, also in view of their possible applications in physics. Numerous generalizations of Z2-graded structures have been proposed and investigated, e.g., Z3-graded exterior differentials and Grassmann algebras, ternary Clifford algebras, Z3-generalizations of supersymmetry, and Z3-graded generalization of spin and color Dirac equation. These topics will be the subject of articles presented in the Special Issue, combining articles of mathematical and physical character.

Prof. Dr. Richard Kerner
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. 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

  • Z3-graded algebras
  • Ternary Clifford algebras
  • Field theory
  • Hypersymmetry
  • Colour symmetry
  • cubic matrices
  • Z3-graded Lorentz symmetry
  • Color Dirac equation

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
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

13 pages, 272 KiB  
Article
On the Solvability of ℤ3-Graded Novikov Algebras
by Viktor Zhelyabin and Ualbai Umirbaev
Symmetry 2021, 13(2), 312; https://doi.org/10.3390/sym13020312 - 13 Feb 2021
Cited by 6 | Viewed by 1433
Abstract
Symmetries of algebraic systems are called automorphisms. An algebra admits an automorphism of finite order n if and only if it admits a Zn-grading. Let N=N0⊕N1⊕N2 be a Z3-graded Novikov [...] Read more.
Symmetries of algebraic systems are called automorphisms. An algebra admits an automorphism of finite order n if and only if it admits a Zn-grading. Let N=N0⊕N1⊕N2 be a Z3-graded Novikov algebra. The main goal of the paper is to prove that over a field of characteristic not equal to 3, the algebra N is solvable if N0 is solvable. We also show that a Z2-graded Novikov algebra N=N0⊕N1 over a field of characteristic not equal to 2 is solvable if N0 is solvable. This implies that for every n of the form n=2k3l, any Zn-graded Novikov algebra N over a field of characteristic not equal to 2,3 is solvable if N0 is solvable. Full article
(This article belongs to the Special Issue Ternary and Z3-Graded Algebras in Physics)
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-1
Back to TopTop