AI 中文总结
本文解决了特征2域上有限对称群代数极大理想分类的悬而未决问题，通过关联其素理想与高阶Verlinde范畴，借助研究一般线性群倾斜模的厚张量理想完成了该工作。
AI 中文摘要
1996年，Baranov与Kleshchev完成了特征非2域上有限对称群代数中极大理想的分类，而特征2域下的对应问题自此悬而未决。本文通过建立该群代数素理想与近年定义的高阶Verlinde范畴间猜想联系的部分内容来解决该问题，为此研究了特征2域上一般线性群倾斜模的厚张量理想。
英文摘要
In 1996, Baranov and Kleshchev classified maximal ideals in the finitary symmetric group algebra over fields of characteristic not 2. The corresponding question in characteristic~2 has remained open since. In the current paper we solve the problem by establishing part of a conjectural connection between prime ideals in this group algebra and the recently defined higher Verlinde categories. To achieve this we investigate thick tensor ideals of tilting modules of the general linear group in characteristic 2.
