相关于线性群极小支配权的有限维代数的拟遗传性(英文)

On the Quasi-heredity of Finite Dimensional Algebras Associated with the Minimal Dominant Weights of Linear Groups

在这篇论文中，我们证明了模L（ωr）d的系数余代数的对偶是拟遗传的，这里L（ωr）是对应于GL（n，k）的第r个极小支配权的不可约模；除此之外，我们还研究了这些对偶代数的模范畸和有理GL（n，k）模范畴之间的关系。

In this paper, we prove the quasi - heredity of the algebras dual to the coefficient coalgebras of the modules L (ωr)d, where L (ωr) is an irreducible module corresponding to the r-th minimal dominant weight of GL (n, k ). Moreover, we discuss their regular representations. As an application, we study the relation between module categories of these algebras and category of rational GL (n, k )-modules.