An interpretation of En-homology as functor homology
An interpretation of En-homology as functor homology
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En-homology作为函子同源的解释
DOI：
10.1007/s00209-010-0722-5
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发表时间：
2009
影响因子：
0.8
通讯作者：
Birgit Richter
中科院分区：
文献类型：
--
作者：
M. Livernet;Birgit Richter
证明了当考虑某一类n级平面树的函子时，非单位交换代数的上同调可描述为函子同调。对于不同的n，这些同调理论由自然映射连接，从Hochschild同调及其高阶版本到Gamma同调。
We prove that En-homology of non-unital commutative algebras can be described as functor homology when one considers functors from a certain category of planar trees with n levels. For different n these homology theories are connected by natural maps, ranging from Hochschild homology and its higher order versions to Gamma homology.