Hochschild Cohomology of Galois Coverings of Quantum Exterior Algebras |
Received:June 11, 2012 Revised:February 19, 2013 |
Key Words:
Hochschild cohomology Galois covering quantum exterior algebra.
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Fund Project:The second author is supported by Beijing Natural Science Foundation (Grant No.1122006) and the National Natural Science Foundation of China (Grant No.11301144). |
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Abstract: |
In this paper, we consider the Hochschild cohomology of a class of quantum algebras $\Lambda_{\mathbbm{q}}^{n}$. We construct a minimal projective bimodule resolution of $\Lambda_{\mathbbm{q}}^{n}$, and calculate the $\k$-dimensions of all the Hochschild cohomology groups of $\Lambda_{\q}^{n}$. Furthermore, we give the Hochschild cohomology ring structure of $\Lambda_{\mathbbm{q}}^{n}$ for some special cases. |
Citation: |
DOI:10.3770/j.issn:2095-2651.2013.05.004 |
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