Hochschild cohomology and dominant dimension

Hochschild cohomology and dominant dimension
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Hochschild 上同调和主导维数

DOI:
10.1090/tran/7704
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发表时间:
2019-01
期刊:
Transaction of American of Mathematical Society
影响因子:
--
通讯作者:
Hyohe Miyachi
Hyohe Miyachi
中科院分区:
其他
文献类型:
--
作者:
Ming Fang;Hyohe Miyachi

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A new approach is established to compare Hochschild cohomologies of an algebra and of its centralizer subalgebras. This approach is based on dominant dimension, a homological dimension that is shown to control the comparison in a precise sense for a large class of algebras including classical and quantized Schur algebras. For the same class of algebras, it is shown that derived equivalences preserve dominant dimension. This is applied to determine the dominant dimensions of-Schur algebras and of their blocks. References
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