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...
Corollary 2.9 below proves that every 2-local ⁎-derivation on a ⁎C⁎-algebra is a linear ⁎-derivation, while Corollary 2.10 shows that the same conclusion remains true for weak-2-local ⁎-derivations on general ⁎C⁎-algebras. It should be remarked here that, by Corollary ...
Let F be an algebraically closed field of characteristic zero, and L be a basic classical Lie superalgebra except A(n, n) over F. In this paper, we prove that every 2-local superderivation on L is a superderivation. Furthermore, we give an example to show that a sub...
For completeness, we include in appendix A the formulas for the scalar masses in the various vacua, while appendix B contains some derivations concerning the minimization of the angular part. 2 The Z2 × Z2 potential 2.1 Notation Consider a three Higgs doublet model (3HDM) with the Z2 ×...
In Sect. 3, we give physical and mathematical derivations of the first result. Namely, the mod-2 elliptic genus of a theory with gravitational anomaly n=8k+2 is given in terms of the mod-2 reduction of an integral modular form of weight 4k+2, under the assumption that the theory times...
Eventually we introduce new isotopism invariants for Leibniz algebras and Lie racks. 【4】 The Commuting Algebra标题:可交换代数作者:Edward L. Green,Sibylle Schroll备注:12 pages, Comments welcome链接:点击下载PDF文件摘要:设$KQ$是路代数,其中$Q$是有限箭图,$K$是域.本文研究$KQ C$,其中$C$是$Q ...
2 Tangent Vectors in Rn as Derivations 2.1 The Directional Derivative 2.2 Germs of Functions 2.3 Derivations at a Point 2.4 Vector Fields 2.5 Vector Fields as Derivations Problems 3 The Exterior Algebra of Multicovectors 3.1 Dual Space 3.2 Permutations ...
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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...
(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 ...