一类由群表示诱导的迹函数

Trace Function Derived from Unitary Matrix Representation of the Group

讨论了TGM(A)的性质 ,这里G是m次对称群Sm 的子群 ,TGM(A)表示群G的酉表示M诱导的迹函数 ,定义为TGM(A) =∑σ∈GM(σ)∑mt =1 atσ(t) ,所得结果推广了TGχ(A)的性质 ,这里 χ是群G的特征标 .

The properties of T G M(A), T G M is defined by T G M(A)=∑σ∈GM(σ)∑mt=1a tσ(t) where T G M denotes trace function derived from unitary matrix representation M of the group G, and G is a subgroup of the fule symmetric group S m. On the basis of the results obtained, the properrias of T G χ(A) are generalized, where χ is a character of group G.