Tilting modules of affine quasi-hereditary algebras
Tilting modules of affine quasi-hereditary algebras
复制标题
仿射拟遗传代数的倾斜模
DOI：
10.1016/j.aim.2017.11.013
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Ryo Fujita
中科院分区：
文献类型：
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作者：
Ryo Fujita
讨论了仿射拟遗传代数的倾斜模。给出了当代数具有大中心时不可分解倾斜模的存在定理，并利用它给出了两个仿射最高权范畴之间的精确函子等价的一个判据。作为应用，我们证明了Arakawa-Suzuki函子(Arakawa-Suzuki，1998)给出了GLm的变形BGG范畴的一个块的完全忠实嵌入到G L n的退化仿射Hecke代数的适当完备化的模范畴中.
We discuss tilting modules of affine quasi-hereditary algebras. We present an existence theorem of indecomposable tilting modules when the algebra has a large center and use it to deduce a criterion for an exact functor between two affine highest weight categories to give an equivalence. As an application, we prove that the Arakawa–Suzuki functor (Arakawa–Suzuki, 1998) gives a fully faithful embedding of a block of the deformed BGG category of gl m into the module category of a suitable completion of degenerate affine Hecke algebra of G L n.