论文标题
关于对称组的不可还原模块的自我扩展
On self-extensions of irreducible modules over symmetric groups
论文作者
论文摘要
可以追溯到八十年代的猜想声称,如果地面场的特征不等于$ 2 $,则没有对对称组的不可约性模块的非平凡的自我扩展。我们在此猜想上获得了一些部分积极的结果。
A conjecture going back to the eighties claims that there are no non-trivial self-extensions of irreducible modules over symmetric groups if the characteristic of the ground field is not equal to $2$. We obtain some partial positive results on this conjecture.