Next Article in Journal
Kink Wave Phenomena in the Nonlinear Partial Differential Equation Representing the Transmission Line Model of Microtubules for Nanoionic Currents
Next Article in Special Issue
Computational Algebra, Coding Theory, and Cryptography: Theory and Applications
Previous Article in Journal
Generalization of the Fuzzy Fejér–Hadamard Inequalities for Non-Convex Functions over a Rectangle Plane
Previous Article in Special Issue
Algebraic and Geometric Methods for Construction of Topological Quantum Codes from Lattices
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Axioms
Volume 13
Issue 10
10.3390/axioms13100685
axioms-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras

by
Hui Wu
1,
Shuangjian Guo
2 and
Xiaohui Zhang
1,*
1
School of Mathematical Sciences, Qufu Normal University, Qufu 273165, China
2
School of Mathematics and Statistics, Guizhou University of Finance and Economics, Guiyang 550025, China
*
Author to whom correspondence should be addressed.
Axioms 2024, 13(10), 685; https://doi.org/10.3390/axioms13100685
Submission received: 12 August 2024 / Revised: 19 September 2024 / Accepted: 30 September 2024 / Published: 2 October 2024
(This article belongs to the Special Issue Computational Algebra, Coding Theory and Cryptography: Theory and Applications)
Versions Notes

Abstract

In this paper, we introduce two-term differential Leib∞-conformal algebras and give characterizations of some particular classes of such two-term differential Leib∞-conformal algebras. Furthermore, we discuss the classification of the non-Abelian extensions in terms of non-Abelian cohomology groups. Finally, we explore the inducibility of pairs of automorphisms and derive the analog Wells exact sequences under the circumstance of differential Leibniz conformal algebras.
Keywords: differential Leibniz conformal algebra; cohomology; crossed module; non-Abelian extension; Wells exact sequences differential Leibniz conformal algebra; cohomology; crossed module; non-Abelian extension; Wells exact sequences

Share and Cite

MDPI and ACS Style

Wu, H.; Guo, S.; Zhang, X. Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras. Axioms 2024, 13, 685. https://doi.org/10.3390/axioms13100685

AMA Style

Wu H, Guo S, Zhang X. Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras. Axioms. 2024; 13(10):685. https://doi.org/10.3390/axioms13100685

Chicago/Turabian Style

Wu, Hui, Shuangjian Guo, and Xiaohui Zhang. 2024. "Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras" Axioms 13, no. 10: 685. https://doi.org/10.3390/axioms13100685

APA Style

Wu, H., Guo, S., & Zhang, X. (2024). Crossed Modules and Non-Abelian Extensions of Differential Leibniz Conformal Algebras. Axioms, 13(10), 685. https://doi.org/10.3390/axioms13100685

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Metrics

Back to TopTop