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...
Using the first cohomology from the mirror Heisenberg-Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg-Virasoro algebra-module), in this paper we determined the derivations on the mirror Heisenberg-Virasoro algebra. Based on this result, we proved that any 2-local derivat...
摘要: We studied the derivations and the second cohomology group of the classical N = 2 Lie conformal superalgebra. Furthermore, we investigated the universal central extension of this Lie conformal superalgebra by applying the result on the second cohomology group....
their derivation algebras. As a natural generalization of derivation , 2-local derivation of a Lie algebra plays an important role in study of local properties of the Lie algebra.This paper is devoted to study 2-local derivations of Lie algeb...
The group G(2) is the simplest among the exceptional Lie groups31; it is well known that the compact simple Lie groups are completely described by the following classes: AN(=SU(N+1)),BN(=SO(N+1)),CN(=Sp(N)),DN(=SO(2N)) and exceptional groups G2,F4,E6,E7,E8, with N=1,2...
Local and 2-Local 12-Derivations on Finite-Dimensional Lie Algebras In this work, we introduce the notion of local and 2-local 未 -derivations and describe local and 2-local 1 2 -derivation of finite-dimensional solvable Lie algebras with filiform, Heisenberg, and abelian nilradicals. Moreover...
In this paper, we generalize the Tits construction for Lie superalgebras such that s l 2 \mathfrak{sl}_2 acts by even derivations and decompose, as s l 2 \mathfrak{sl}_2 -module, into a direct sum of copies of the adjoint, the natural and the trivial representations. This construction...
(WTCCC),n = 2403). Study protocols within the EGG Consortium were approved at each study center by the local ethics committee and written informed consent had been obtained from all participants and/or their parent(s) or legal guardians. Regarding the iPSYCH and SSI-GE cohorts, GWAS ...
367 \\{DECREASED\\} Vd2 T \\{CELLS\\} \\{ASSOCIATE\\} \\{WITH\\} \\{LIVER\\} \\{DAMAGE\\} \\{THROUGH\\} \\{REGULATING\\} Th17 \\{PRODUCTION\\} \\{IN\\} \\{... J.-Y.,Zhang,and,... - 《Journal of Hepatology》 被引量: 0发表: 2013年 The Mitochondrial Proteins...
On derivations and low-dimensional (co)homology groups of pro-sovable Lie algebras associated with $\\mathbf{n}_1$ and $\\mathbf{n}_2$ In the paper we describe the derivations of two \\mathbb{N} \\mathbb{N} -graded infinity-dimensional Lie algebras \\mathbf{n}_1 \\mathbf{n}_1 ...