Quadratic modules for Lie algebras
Yıl: 2011 Cilt: 40 Sayı: 3 Sayfa Aralığı: 409 - 419 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022
Quadratic modules for Lie algebras
Öz: In this work we give the notion of quadratic module for Lie algebras and explore the connections between this structure, 2-crossed modules and simplicial Lie algebras in terms of hypercrossed complex pairings.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
- [1]Akça, I and Arvasi, Z. Simplicial and crossed Lie algebras, Homology, Homotopy and Applications 4(1), 43-57, 2002.
- [2]Arvasi, Z. and Porter, T. Higher dimensional Peiffer elements in simplicial commutative algebras, Theory and Applications of Categories 3 (1), 1-23, 1997.
- [3]Baues, H.J. Combinatorial homotopy and 4-dimenional complexes (Walter de Gruyter, 15, 380 pages, 1991).
- [4]Conduche, D. Modules croises generalises de longueur 2, J. Pure and Applied Algebra 34, 155-178, 1984.
- [5]Curtis, E. B. Simplicial homotopy theory, Adv. in Math. 6, 107-209, 1971.
- [6]Duskin, J. Simplicials methods and the interpretation of triple cohomology, Memoirs A.M.S. 3, 163, 1975.
- [7]Ellis, G. J. Homotopical aspects of Lie algebras, J. Austral. Math. Soc. (Series A) 54, 393-419, 1993.
- [8]Kan, D.M. A combinatorial definition of homotopy groups, Annals of Maths. 61, 288-312, 1958.
- [9]Kassel, C. and Loday, J.-L. Extensions centrales d'algebres de Lie, Ann. Inst. Fourier (Grenoble) 33, 119-142, 1982.
- [10]Loday, J.-L. Cyclic Homology (Springer-Verlag, 301, 511 pages, 1998).
- [11]Whitehead, J. H. C. Combinatorial Homotopy II, Bull. Amer. Math. Soc. 55, 453-496, 1949.
APA | ULUALAN E, USLU E (2011). Quadratic modules for Lie algebras. , 409 - 419. |
Chicago | ULUALAN Erdal,USLU Enver Önder Quadratic modules for Lie algebras. (2011): 409 - 419. |
MLA | ULUALAN Erdal,USLU Enver Önder Quadratic modules for Lie algebras. , 2011, ss.409 - 419. |
AMA | ULUALAN E,USLU E Quadratic modules for Lie algebras. . 2011; 409 - 419. |
Vancouver | ULUALAN E,USLU E Quadratic modules for Lie algebras. . 2011; 409 - 419. |
IEEE | ULUALAN E,USLU E "Quadratic modules for Lie algebras." , ss.409 - 419, 2011. |
ISNAD | ULUALAN, Erdal - USLU, Enver Önder. "Quadratic modules for Lie algebras". (2011), 409-419. |
APA | ULUALAN E, USLU E (2011). Quadratic modules for Lie algebras. Hacettepe Journal of Mathematics and Statistics, 40(3), 409 - 419. |
Chicago | ULUALAN Erdal,USLU Enver Önder Quadratic modules for Lie algebras. Hacettepe Journal of Mathematics and Statistics 40, no.3 (2011): 409 - 419. |
MLA | ULUALAN Erdal,USLU Enver Önder Quadratic modules for Lie algebras. Hacettepe Journal of Mathematics and Statistics, vol.40, no.3, 2011, ss.409 - 419. |
AMA | ULUALAN E,USLU E Quadratic modules for Lie algebras. Hacettepe Journal of Mathematics and Statistics. 2011; 40(3): 409 - 419. |
Vancouver | ULUALAN E,USLU E Quadratic modules for Lie algebras. Hacettepe Journal of Mathematics and Statistics. 2011; 40(3): 409 - 419. |
IEEE | ULUALAN E,USLU E "Quadratic modules for Lie algebras." Hacettepe Journal of Mathematics and Statistics, 40, ss.409 - 419, 2011. |
ISNAD | ULUALAN, Erdal - USLU, Enver Önder. "Quadratic modules for Lie algebras". Hacettepe Journal of Mathematics and Statistics 40/3 (2011), 409-419. |