【摘要】 运用邓金链图列举了Ｄｎ的各级非零根并讨论了这些根的一些特性．在Ｊｏ－ｃｏｂｉ恒等式和反对称关系εα，β＝－εβ，α的基础上找到了相因子的约束条件．适当选择ｅα系数和εαβ的位相得到满足约束条件的Ｄｎ的相因子．讨论了Ｄｎ与Ｄｎ的相因子的对应关系，从而相应地得到了无穷维李代数Ｄｎ的相因子．更多还原

【Abstract】 Nonzero roots at all levels of Dn are listed and some characteristics of the roots of Dn are discussed by using dynkin chain diagram.Constraint condition is found on the base of Jacobi′s identity and antisymmetric relationship εα,β=-εβ,α.Cocycle factors of Dn which satisfies with the constraint condition are obtained by selecting the coefficient of eα and the phase of εα,β properly.The corresponding relationship of Cocycle factors of n and Dn is discussed.Thus the Cocycle factors of infinite dimension Lie algebra n are obtained accordingly.更多还原