With the elementary knowledge of coding, group representation and group action, we get some existent and un-existent conditions on the existence of self-dual permutation codes in the case that the group action is transitive.
利用编码理论，群表示论以及可迁群作用中的一些基本知识，我们得到当一个群可迁的作用在一个集合上时，自对偶置换码存在和不存在的几个条件。
The total antisymmetric basis functions are constructed for irreducible representation of S3 permutation group from nine-dimensional hyperspherical harmonics.
以九维超球谐为投影函数，构造置换群S3一维不可约表示的全反称基函数。
Physical method of group representation theory (ⅱ) the quasi-standard bases of permutation group and the Gelfand bases of unitary group
群表示论的物理方法（Ⅱ）置换群亚标准基和酉群Gelfand基
Three genetic operators, such as improved crossover, internal crossover and migration as a kind of mutation, were designed based on permutation representation.
算法直接采用任务列表编码结构，在此基础上设计出三个专门的遗传算子，即改进的交叉算子、内部交叉算子和具有变异功能的迁移算子。
The Permutation representation and the matrix representation of a finite volume hypergroups were given in this paper by the left translation action of the finite volume hypergroups.
通过有限容幂群在其自身上的左平移作用，给出了有限容幂群的置换表示和矩阵表示。
A new genetic algorithm is proposed to solve arbitrary traffic grooming problems in mesh networks using the permutation-based chromosome representation.
构造了能解决格状网中任意业务梳理问题的遗传算法，其中使用了基于排列的编码方案；