Tang, X. (2017). Biderivations of finite-dimensional complex simple Lie algebras. Linear Multilinear Algebra DOI: 10.1080/03081087.2017.1295433.Tang X., Biderivations of nite-dimensional complex simple Lie algebras. Linear Multilinear Algebra, 2018, 66(2), 250-259...
Let $L$ be a Lie algebra over a commutative unital ring containing 1/2. We will show that, if $L$ is perfect and centerless, then every skew-symmetric biderivation $D$ of $L$ is of the form $D(x,y)=C([x,y]) $ for all $x,y\in L$, where C is in the centroid of L....
super Galilean conformal algebrasIn this paper, we prove that the biderivation of finite complex simple Lie algebra without the restriction of skew-symmetric is inner. As applications, we characterize the biderivation of general linear Lie algebra, it is a non-inner and non-skew-symmetric bi...
Biderivations of the deformative Schrödinger-Virasoro algebras For , s =0 or , the deformative Schrdinger-Virasoro algebra is the semi-direct product Lie algebra of the Witt algebra and its tensor density module. It co... J Jiang,X Tang - 《Communications in Algebra》 被引量: 0发表: ...
摘要: In this paper, we characterize the super-biderivations of Cartan type Lie superalgebras over the complex field $\mathbb{C}$. Furthermore, we prove that all super-biderivations of Cartan type simple Lie superalgebras are inner super-biderivations....
3-Lie multipliers on Banach 3-Lie algebras. Int. J. Geom. Meth. Mod. Phys. 2012, 9, 1250052. [Google Scholar] [CrossRef] Gordji, M.E.; Ghaemi, M.B.; Alizadeh, B. A fixed point method for perturbation of higher ring derivationsin non-Archimedean Banach algebras. Int. J. Geom....
In this paper, we correct the definition of bihomomorphism and the statements of the results in [J. Shokri, A. Ebadian and R. Aghalari, Approximate bihomomorphisms and biderivations in 3-Lie algebras, Int. J. Geom. Methods Mod. Phys. 10 (2013) 1220020, 13pp., Sec. sec3], and ...
LIE algebrasMULTILINEAR algebraLINEAR operatorsThe authors of this article intend to present some results obtained in the study of biderivations of complete Lie algebras. Firstly they present a matricial approach to do this, which was a useful and explanatory tool not only in the study of ...
Biderivations of the parabolic subalgebras of simple Lie algebras. Commun Algebra. 2011;39(11):4097-4104.Wang D; Yu X; Chen Z.Biderivation of the parabolic subalgebras of simple Lie algebra.Comm Algebra.2011.4097-4104D. Wang, X. Yu, Z. Chen. Biderivations of the parabolic subalgebras of...
The present paper is devoted to the description of local (2-local) derivations and automorphisms and biderivations on some complex ω-Lie algebras. Given a three-dimensional complex ω-Lie algebras g, we prove that every local (2--local) derivation and automorphisms on g are de...