阿贝尔群的子特征代数的变形的半单性
Semisimplicity of the deformations of the subcharacter algebra of an abelian group
摘要：
对于满足一定非退化条件的变形，我们刻画了有限群的子特征代数的变形的某些单模的结构。对有限阿贝尔群，我们证明了特征为零的域上的双集生成的代数所对应的自然数的包含所给出的变形不是半单的.在素数阶的循环群中，给出了半单变形的完整刻画。
英文摘要：
For those deformations that satisfy a certain non-degeneracy condition, we describe the structure of certain simple modules of the deformations of the subcharacter algebra of a finite group. For finite abelian groups, we prove that the deformation given by the inclusion of the natural numbers, which corresponds to the algebra generated by the fibred bisets over a field of characteristic zero, is not semisimple. In the cyclic group of prime order case, we provide a complete description of the semisimple deformations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
