Hochschild (co)homology of galois coverings of Grassmann algebras
Document Type
Article
Publication Date
10-1-2009
Abstract
Let ?? be the ?2-Galois covering of the Grassmann algebra ? over a field k of characteristic not equal to 2. In this paper, the dimensional formulae of Hochschild homology and cohomology groups of ?? are calculated explicitly. And the cyclic homology of ?? can also be calculated when the underlying field is of characteristic zero. As a result, we prove that there is an isomorphism from ?i?1 HHi(??) to ?i?1 HHi(?). © Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer Berlin Heidelberg 2009.
Recommended Citation
Xu, Yun Ge and Tang, Xin, "Hochschild (co)homology of galois coverings of Grassmann algebras" (2009). College of Health, Science, and Technology. 841.
https://digitalcommons.uncfsu.edu/college_health_science_technology/841