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.
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