EN
On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations
Abstract
In this paper, we have introduced the category of 2-quasi crossed modules for Lie algebras and we have constructed a pair of adjoint functors between this category and that of 2-crossed modules Lie algebras.
Keywords
Supporting Institution
Eskisehir Osmangazi University, Scientific Research Center (BAP)
Project Number
202019A107
References
- D. Conduch'e, Modules crois'es g'en'eralis'es de longueur 2, J. Pure Appl. Algebra, 34:155–178,1984.
- P.Carrasco, T. Porter, Coproduct of 2-crossed modules:applications to a definition of a tensor product for 2-crossed complexes, Collect. Math. DOI 10.1007/s13348-015-0156-9.
- G. J. Ellis, Homotopical aspects of Lie algebras}, J. Austral. Math. Soc. (Series A) 54, 393–419, 1993.
- C. Kassel and J.L. Loday, Extensions centrales d'alg\'ebres de Lie, Ann. Inst. Fourier (Grenoble) 33, 119–142, 1982.
- J.H.C Whitehead, Combinatorial homotopy II, Bulletin of the American Mathematical Society, vol. 55, pp. 453--496, 1949.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
September 23, 2022
Submission Date
March 17, 2022
Acceptance Date
May 11, 2022
Published in Issue
Year 2022 Volume: 4 Number: 1
APA
Ege Arslan, U., & Kaplan, S. (2022). On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations. Ikonion Journal of Mathematics, 4(1), 17-26. https://doi.org/10.54286/ikjm.1089611
AMA
1.Ege Arslan U, Kaplan S. On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations. ikjm. 2022;4(1):17-26. doi:10.54286/ikjm.1089611
Chicago
Ege Arslan, Ummahan, and Sultan Kaplan. 2022. “On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations”. Ikonion Journal of Mathematics 4 (1): 17-26. https://doi.org/10.54286/ikjm.1089611.
EndNote
Ege Arslan U, Kaplan S (September 1, 2022) On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations. Ikonion Journal of Mathematics 4 1 17–26.
IEEE
[1]U. Ege Arslan and S. Kaplan, “On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations”, ikjm, vol. 4, no. 1, pp. 17–26, Sept. 2022, doi: 10.54286/ikjm.1089611.
ISNAD
Ege Arslan, Ummahan - Kaplan, Sultan. “On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations”. Ikonion Journal of Mathematics 4/1 (September 1, 2022): 17-26. https://doi.org/10.54286/ikjm.1089611.
JAMA
1.Ege Arslan U, Kaplan S. On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations. ikjm. 2022;4:17–26.
MLA
Ege Arslan, Ummahan, and Sultan Kaplan. “On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations”. Ikonion Journal of Mathematics, vol. 4, no. 1, Sept. 2022, pp. 17-26, doi:10.54286/ikjm.1089611.
Vancouver
1.Ummahan Ege Arslan, Sultan Kaplan. On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations. ikjm. 2022 Sep. 1;4(1):17-26. doi:10.54286/ikjm.1089611
Cited By
On Quasi Quadratic Modules of Lie Algebras
Journal of New Theory
https://doi.org/10.53570/jnt.1176779