Hochschild Cohomology of Galois Coverings of Quantum Exterior Algebras  

作　　者：Jinmei FAN Bo HOU 

机构地区：[1]College of Science, Guilin University of Technology [2]School of Mathematics and Information Science, Henan University

出　　处：《Journal of Mathematical Research with Applications》2013年第5期551-560,共10页数学研究及应用（英文版）

基　　金：supported by Beijing Natural Science Foundation(Grant No.1122006);the National Natural Science Foundation of China(Grant No.11301144)

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.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.

关 键 词：Hochschild cohomology Galois covering quantum exterior algebra. 

分 类 号：O154.2[理学—数学]