On the Toroidal Leibniz Algebras  

作　　者：Dong LIU Lei LIN 

机构地区：[1]Department of Mathematics, Huzhou Teachers College, Huzhou 313000, P. R. China [2]Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2008年第2期227-240,共14页数学学报（英文版）

基　　金：the NNSF (Grants 10671027,10271076,10701019);the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No.06KJBll0003);Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT);the Shanghai Priority Academic Discipline from the SMEC

摘　　要：Toroidal Leibniz algebras are the universal central extensions of the iterated loop algebras g×C[t1^±1,...,tv^±1] in the category of Leibniz algebras. In this paper, some properties and representations of toroidal Leibniz algebras are studied. Some general theories of central extensions of Leibniz algebras are also obtained.Toroidal Leibniz algebras are the universal central extensions of the iterated loop algebras g×C[t1^±1,...,tv^±1] in the category of Leibniz algebras. In this paper, some properties and representations of toroidal Leibniz algebras are studied. Some general theories of central extensions of Leibniz algebras are also obtained.

关 键 词：Toroidal Leibniz algebra derivation and automorphism universal central extension 

分 类 号：O153[理学—数学]