SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA

SIMPLICIAL AND CROSSED HOM-LIE ALGEBRA

We introduce the simplicial Hom-Lie algebras and determine theirrelations among crossed modules of Hom-Lie algebras

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  • Curtis, E.B., Simplicial homotophy theory, Adv. in Math., 6, 107-209, (1971).
  • Hartwig, J.T., Larson, P.D., Silvestrov, S.D., Deformations of Lie algebras using σ- derivations, Journal of Algebra, 295, 314-361, (2006).
  • Kassel, c., Loday, J.L., Extensions centrales d’alg´ebres de Lie, Ann. Ins. Fourier (greno- ble), 33, 119-142. (1982).
  • Makhlouf, A., Silvestrov, S.D., Hom-algebra Structures, J. Gen. Lie Theory Appl., 2, 51-64, (2008).
  • Porter, T., Homology of commutative algebras and an invariant of Simis and Vas- conceles, J.Algebra., 99, 2. (1987).
  • Sheng, Y., Chen, D., Hom-Lie 2-algebras, Journal of Algebra, 376, 174-195, (2013).
  • Whitehead, J.H.C. , Combinatorial Group Theory II, American Math. Soc. , (1949).
  • Department of Mathematics-Computer, Eskisehir Osmangazi University, Eskisehir, Turkey E-mail address: afaslan@ogu.edu.tr