The Lie structure on the Hochschild cohomology of a modular group algebra
The Lie structure on the Hochschild cohomology of a modular group algebra
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DOI：
10.1016/j.jpaa.2011.08.007
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发表时间：
2011-03
影响因子：
0.8
通讯作者：
S. Sánchez-Flores
中科院分区：
文献类型：
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作者：
S. Sánchez-Flores
证明了正特征域上循环群的群代数的Hochschild上同调的Gerstenhaber括号不是平凡的。在这种情况下，我们将Hochschild上同调的奇数阶上的李代数结构与Witt型代数联系起来。
We prove that the Gerstenhaber bracket on the Hochschild cohomology of the group algebra of a cyclic group over a field of positive characteristic is not trivial. In this case, we relate the Lie algebra structure on the odd degrees of the Hochschild cohomology with a Witt-type algebra.