The cohomology structure of string algebras

The cohomology structure of string algebras
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DOI:
10.1016/j.jpaa.2005.06.010
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发表时间:
2004-10
影响因子:
0.8
通讯作者:
J. C. Bustamante
J. C. Bustamante
中科院分区:
数学2区
文献类型:
--
作者:
J. C. Bustamante

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我们证明了当A是三角二次弦代数时,Hochschild上同调HH*(A)的分次交换环结构是平凡的。此外,在A是温柔的情况下,HH*(A)上的李代数结构也是平凡的。
We show that the graded commutative ring structure of the Hochschild cohomology HH*(A) is trivial in case A is a triangular quadratic string algebra. Moreover, in case A is gentle, the Lie algebra structure on HH*(A) is also trivial.