Research Article

On Quasi Quadratic Modules of Lie Algebras

Number: 41 December 31, 2022
EN

On Quasi Quadratic Modules of Lie Algebras

Abstract

This study introduces the category of quasi-quadratic modules of Lie algebras and discusses the functorial relations between quasi-quadratic modules and quadratic modules of Lie algebras.

Keywords

References

  1. J. H. C. Whitehead, Combinatorial homotopy I, Bulletin of the American Mathematical Society 55 (3) (1949) 213–245.
  2. J. H. C. Whitehead, Combinatorial homotopy II, Bulletin of the American Mathematical Society 55 (5) (1949) 453–496.
  3. C. Kassel, J. L. Loday, Extensions Centrales D’algébres de Lie, Annales de l’institut Fourier 33 (1982) 119–142.
  4. D. Conduch_e, Modules Crois_es Généralisés de Longueur 2, Journal of Pure and Applied Algebra 34 (1984) 155–178.
  5. G. J. Ellis, Homotopical Aspects of Lie Algebras, Journal of the Australian Mathematical Society (Series A) 54 (1993) 393–419.
  6. H. J. Baues, Combinatorial Homotopy and 4-Dimensional Complexes, De Gruyter, Berlin, 1991.
  7. E. Ulualan, E. Uslu, Quadratic Modules for Lie Algebras, Hacettepe Journal of Mathematics and Statistics 40 (3) (2011) 409–419.
  8. Z. Arvasi, E. Ulualan, Quadratic and 2-Crossed Modules of Algebras, Algebra Colloquium 14 (4) (2007) 669–686.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2022

Submission Date

September 17, 2022

Acceptance Date

December 26, 2022

Published in Issue

Year 2022 Number: 41

APA
Özel, E., & Ege Arslan, U. (2022). On Quasi Quadratic Modules of Lie Algebras. Journal of New Theory, 41, 62-69. https://doi.org/10.53570/jnt.1176779
AMA
1.Özel E, Ege Arslan U. On Quasi Quadratic Modules of Lie Algebras. JNT. 2022;(41):62-69. doi:10.53570/jnt.1176779
Chicago
Özel, Emre, and Ummahan Ege Arslan. 2022. “On Quasi Quadratic Modules of Lie Algebras”. Journal of New Theory, nos. 41: 62-69. https://doi.org/10.53570/jnt.1176779.
EndNote
Özel E, Ege Arslan U (December 1, 2022) On Quasi Quadratic Modules of Lie Algebras. Journal of New Theory 41 62–69.
IEEE
[1]E. Özel and U. Ege Arslan, “On Quasi Quadratic Modules of Lie Algebras”, JNT, no. 41, pp. 62–69, Dec. 2022, doi: 10.53570/jnt.1176779.
ISNAD
Özel, Emre - Ege Arslan, Ummahan. “On Quasi Quadratic Modules of Lie Algebras”. Journal of New Theory. 41 (December 1, 2022): 62-69. https://doi.org/10.53570/jnt.1176779.
JAMA
1.Özel E, Ege Arslan U. On Quasi Quadratic Modules of Lie Algebras. JNT. 2022;:62–69.
MLA
Özel, Emre, and Ummahan Ege Arslan. “On Quasi Quadratic Modules of Lie Algebras”. Journal of New Theory, no. 41, Dec. 2022, pp. 62-69, doi:10.53570/jnt.1176779.
Vancouver
1.Emre Özel, Ummahan Ege Arslan. On Quasi Quadratic Modules of Lie Algebras. JNT. 2022 Dec. 1;(41):62-9. doi:10.53570/jnt.1176779

Cited By

 

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Scilit 20865                                                         SOBİAD 30256

 

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