| 侯波,杨士林.一类量子Koszul代数的${\mathbb{Z}}_{2}$-Galois 覆盖的 Hochschild上同调[J].数学年刊A辑,2014,35(4):385~398 |
| 一类量子Koszul代数的${\mathbb{Z}}_{2}$-Galois 覆盖的 Hochschild上同调 |
| Hochschild Cohomology of${\mathbb{Z}}_{2}$-Galois Covering of aClass of Quantum Koszul Algebras |
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| DOI： |
| 中文关键词: Hochschild上同调, Galois覆盖, Koszul代数 |
| 英文关键词:Hochschild cohomology,
Galois covering, Koszul algebra |
| 基金项目:国家自然科学基金 (No.11301144, No.11271043) 和北京市自然科
学基金 (No.1122006) |
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| 中文摘要: |
| 考虑一类量子Koszul代数的
${\mathbb{Z}}_{2}$-Galois覆盖$\Lambda_{\q}$, 并计算
这类代数的各阶Hochschild上同调群的维数,
进而利用道路的语言, 刻画了 Hochschild上同调环的cup积. 作为应用,
给出了这类代数的Hochschild上同调环模掉幂零理想的
代数结构. |
| 英文摘要: |
| The authors consider the ${\mathbb{Z}}_2$-Galois covering $\Lambda_{\q}$ of a
class of quantum Koszul algebras. The authors calculate the dimensions of all
Hochschild cohomology groups of $\Lambda_{\q}$ and show that the cup
product of Hochschild cohomology ring is essentially given by
concatenation of paths. As an application, the structure of the
Hochschild cohomology ring modulo nilpotence is given for some
special cases. |
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