Representation of n- BiHom Γ-Lie algebra
DOI:
https://doi.org/10.31642/JoKMC/2018/1002019%20Keywords:
Algebra, Lie algebra, RepresentationAbstract
The purpose of this paper, is to define and discuss a representation on an n-Bi-Hom Γ-Lie algebra and give some results about them.
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A. Kitoune, A. Makhlouf and S. Silvestrov, '' on n-ary Generalization of Bi-Hom-Lie Algebras and Bi-Hom-Associative Algebras'', algebraic Structures and Applications: SPAS 2017, Va ̈stera ̇s and Stockholm, Sweden , pp.99-126, (2020).
J. Li, and L. Chen, '' the construction of 3-BiHom-Lie algebras, Communications in Algebra '', vol.48, no.12, pp.5374-5390, (2020).
A.H. Rezaei, and B. Davvaz , '' construction of Γ –Lie algebra and Γ –Lie Admissible '', Korean Journal of Mathematics ,vol.26,no.3,pp. 175-189, (2018).
A.H. Rezaei, , B. Davvaz,S. and O. Dehkordi , '' Fundamentals of Γ- Algebra and Γ- Dimension, UPB Scientific Bulletin '', Series A: applied Mathematics and Physics vol.76,no.2, pp.111-122 , (2014).
J. Arnlind, A. Makhlouf and S. Silvestrov, '' construction of n-Lie algebras and n-ary Hom Nambu Lie algebras ''. J. Math. Phys. pp.52-76, (2011).
H. Ataguema, A. Makhlouf and S. Silvestrov, '' Generalization of n-ary Nambu algebras and beyond '', J. Math. Phys. pp.8-19, (2009).
I. Bajo, s, Benayadi and A. Medina, '' Symplectic structures on quadratic Lie algebras ''. J. Algebra, pp. 174-188, (2007).
G. Graziani, A. Makhlouf, C. Menini and F. '' Panaite, Bi-Hom-Associative Algebras'' , Bi-Hom-Lie Algebras and Bi-Hom-Bi algebras, SIGMA Symmetry Integrability Geom. Methods Appl, pp .11-29, (2015).
I. Laraiedh, representation, '' extensions and deformations of n-Bi-Hom-Lie algebras '', arᵴiv:2011.05560v1 [ math. RA] 21 Oct (2020).
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