Research Article

On Quasi 2-Crossed Modules for Lie Algebras and Functorial Relations

Volume: 4 Number: 1 September 23, 2022
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

  1. D. Conduch'e, Modules crois'es g'en'eralis'es de longueur 2, J. Pure Appl. Algebra, 34:155–178,1984.
  2. 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.
  3. G. J. Ellis, Homotopical aspects of Lie algebras}, J. Austral. Math. Soc. (Series A) 54, 393–419, 1993.
  4. C. Kassel and J.L. Loday, Extensions centrales d'alg\'ebres de Lie, Ann. Inst. Fourier (Grenoble) 33, 119–142, 1982.
  5. 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

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