一类量子Koszul代数的Z2-Galois覆盖的Hochschild上同调
- ISSN号:1000-8314
- 期刊名称:《数学年刊:A辑》
- 时间:0
- 分类:O153.3[理学—数学;理学—基础数学] O413[理学—理论物理;理学—物理]
- 作者机构:[1]College of Science, Guilin University of Technology, Guangxi 541004, P. R. China, [2]School of Mathematics and Information Science, Henan University, Henan 475001, P. R. China
- 相关基金:The second author is supported by Beijing Natural Science Foundation (Grant No. 1122006) and the National Natural Science Foundation of China (Grant No. 11301144).Acknowledgements We are very grateful to the referees for their careful reading and helpful comments.
关键词:
HOCHSCHILD, 量子代数, 上同调, 伽罗瓦, 外观, 覆盖, 尺寸计算, n次方, Hochschild cohomology, Galois covering, quantum exterior algebra.
中文摘要:
In this paper,we consider the Hochschild cohomology of a class of quantum algebras Λn.We construct a minimal projective bimodule resolution of Λn,and calculate the-dimensions of all the Hochschild cohomology groups of Λn.Furthermore,we give the Hochschild cohomology ring structure of Λn for some special cases.
英文摘要:
In this paper, we consider the Hochschild cohomology of a class of quantum algebras ∧q^n. We construct a minimal projective bimodule resolution of ∧q^n, and calculate the k-dimensions of all the Hochschild cohomology groups of ∧q^n. Furthermore, we give the Hochschild cohomology ring structure of ∧q^n for some special cases.