2-local Lie derivationsnest subalgebrasLet beta be a non-trivial nest in an arbitrary factor M. We prove that every additive 2-local Lie derivation delta from nest subalgebra alg(M)beta into M can be written in the form delta(A) = AT - TA + h(A) I for all A is an element of...
摘要: 2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this paper, we prove that every 2-local derivation on the twisted Heisenberg-Virasoro algebra is a derivation....
2-local Lie derivationsnest subalgebrasLet be a factor von Neumann algebra acting on a complex Hilbert space H with . We show that each local Lie derivation from into itself is a Lie derivation.doi:10.1080/03081087.2017.1421609LiuLeiLinear and Multilinear Algebra...
2-local Lie derivation?matrix algebra?von Neumann algebraWe prove that each 2-local derivation from the algebra Mn(A ) (n > 2) into its bimodule Mn(M) is a derivation, where A is a unital Banach algebra and M is a unital A -bimodule such that each Jordan derivation from A into ...
Let = Tri(A,M, B) be a triangular algebra. In this paper, we prove that under certain conditions, every local derivation from - into itself is a derivation; every additive 2-local Lie derivation from - into itself is a Lie derivation.Dan LiuXiao...
2-local Lie n-derivationTRIPLE DERIVATIONSUNITAL ALGEBRASAUTOMORPHISMSISOMORPHISMSLet M be a finite von Neumann algebra with no central summands of type I1. We show that each nonlinear 2-local Lie n-derivation delta:M -> M with n >= 3 is of the form d + h, where d:M -> M is a...
Lie algebrasWitt algebrapositive Witt algebrathin Lie algebraderivation2-local derivationIn the present paper, we study 2-local derivations of infinite-dimensional Lie algebras over a field of characteristic zero. We prove that all 2-local derivations of the Witt algebra as well as of the positive...
Derivation2-Local derivationWe prove that every 2-local derivation on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is a derivation. We also show that a finite-dimensional nilpotent Lie algebra L with dim L ≥ 2 admits a 2-local...
local derivation2-local derivationIn the present paper we study local and 2-local derivations of locally finite split simple Lie algebras. Namely, we show that every local and 2-local derivation on such Lie algebra is a derivation.doi:10.1142/S021819672050037XAyupov, Shavkat...
Derivation2-Local derivationWe prove that every 2-local derivation on a finite-dimensional semi-simple Lie algebra L over an algebraically closed field of characteristic zero is a derivation. We also show that a finite-dimensional nilpotent Lie algebra L with dim L >= 2 admits a 2-local ...