论文标题
通用Schur代数的良好过滤
Good filtrations for generalized Schur algebras
论文作者
论文摘要
鉴于准标准的超级巨头$ a $，第一作者和R. Muth定义了广义的Schur bi-superalgebras $ t^a（n）$，并证明了这些代数再次是准族。特别是，$ t^a（n）$带有一个标准模块家庭。开发了Donkin和Mathieu在良好过滤方面的工作，我们证明了$ T^a（n）$的标准模块的张量产品具有标准过滤。
Given a quasi-hereditary superalgebra $A$, the first author and R. Muth have defined generalized Schur bi-superalgebras $T^A(n)$ and proved that these algebras are again quasi-hereditary. In particular, $T^A(n)$ comes with a family of standard modules. Developing the work of Donkin and Mathieu on good filtrations, we prove that tensor product of standard modules over $T^A(n)$ has a standard filtration.
