论文标题
通过最小倾斜复合物的量子组的张量理想
Tensor ideals for quantum groups via minimal tilting complexes
论文作者
论文摘要
我们使用最小的倾斜络合物在一组厚的张量理想之间构建一个明确的两者,其中有限二维模块在统一根部的有限维模块和厚度张量张量理想的集合中的三个属性属性。我们还解释了为什么在积极特征领域中还原代数群体的合理表示的类似结构不会引起两者。
We use minimal tilting complexes to construct an explicit bijection between the set of thick tensor ideals with the two-out-of-three property in the category of finite-dimensional modules over a quantum group at a root of unity and the set of thick tensor ideals in the subcategory of tilting modules. We also explain why the analogous construction for rational representations of a reductive algebraic group over a field of positive characteristic does not give rise to a bijection.