Γ-等变分歧问题的有限决定性

摘要

本文研究了关于Γ-右等价和Γ-左-右等价的Γ-等变分歧问题,利用了奇点理论和紧群表示论,获得了判别这类问题的一些准则,并推广了文[3]的一些结果.%In this paper, finite determination of Γ-equivariant bifurcation problems is discussed with respect to equivalences Γ-right and equivalences Γ-right-left. Some criteria to judge these problems are offered by using the singularity theory and the representation theory of compact Lie group, the criteria are a generalization of [3].