EN
QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS
Abstract
In this work we illustrade that the forgetful functor mapping a quadratic module of Lie algebra to a nil(2)-module of Lie algebra is a fibration.
Keywords
References
- [1] J.H.C. Whitehead, Combinatorial Homotopy II , Bull. Amer. Math. Soc. 55, 453496, 1949.
- [2] D.M. Kan, A combinatorial definition of homotopy groups , Annals of Maths. 61, 288312, 1958.
- [3] D. Conduch, Modules croiss gnraliss de longueur 2, J. Pure and Applied Algebra , 34,(1984), 155-178.
- [4] G.J.Ellis,Homotopical aspects of Lie algebras, J. Austral. Math. Soc. (Series A),54, (1993), 393-419.
- [5] A. Grothendieck, Catgories cobress additives et complexe cotangent relatif. In: Lecture Notes in Mathematics, vol. 79. Springer, Berlin (1968).
- [6] D. Guin-Walery and J-L. Loday, Obsructiona l'excision en K-theorie algebrique, in: Algebraic K-Theory (Evanston 1980). Lecture Notes in Math. (1981), 179-216 (1981).
- [7] H.J. Baues, Combinatorial homotopy and 4-dimensional complexes, Walter de Gruyter, 15, 1991.
- [8] I. Aka and Z. Arvasi, Simplicial and crossed Lie algebras, Homology, Homotopy andApplications, Vol. 4 No.(1), (2002) ,43-57.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
July 31, 2022
Submission Date
March 17, 2022
Acceptance Date
July 21, 2022
Published in Issue
Year 2022 Volume: 5 Number: 2
APA
Taşbozan, H., & Güzelkokar, A. (2022). QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. Journal of Universal Mathematics, 5(2), 68-75. https://doi.org/10.33773/jum.1089354
AMA
1.Taşbozan H, Güzelkokar A. QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. JUM. 2022;5(2):68-75. doi:10.33773/jum.1089354
Chicago
Taşbozan, Hatice, and Aydın Güzelkokar. 2022. “QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS”. Journal of Universal Mathematics 5 (2): 68-75. https://doi.org/10.33773/jum.1089354.
EndNote
Taşbozan H, Güzelkokar A (July 1, 2022) QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. Journal of Universal Mathematics 5 2 68–75.
IEEE
[1]H. Taşbozan and A. Güzelkokar, “QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS”, JUM, vol. 5, no. 2, pp. 68–75, July 2022, doi: 10.33773/jum.1089354.
ISNAD
Taşbozan, Hatice - Güzelkokar, Aydın. “QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS”. Journal of Universal Mathematics 5/2 (July 1, 2022): 68-75. https://doi.org/10.33773/jum.1089354.
JAMA
1.Taşbozan H, Güzelkokar A. QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. JUM. 2022;5:68–75.
MLA
Taşbozan, Hatice, and Aydın Güzelkokar. “QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS”. Journal of Universal Mathematics, vol. 5, no. 2, July 2022, pp. 68-75, doi:10.33773/jum.1089354.
Vancouver
1.Hatice Taşbozan, Aydın Güzelkokar. QUADRATIC MODULES OF LIE ALGEBRAS FIBRED OVER NIL(2)-MODULES OF LIE ALGEBRAS. JUM. 2022 Jul. 1;5(2):68-75. doi:10.33773/jum.1089354