Frontiers of Mathematics in China >
Hochschild cohomology of -Galois coverings of an algebra
Received date: 20 Sep 2011
Accepted date: 16 Apr 2012
Published date: 01 Dec 2012
Copyright
We consider the -Galois covering of the algebra A introduced by F. Xu [Adv. Math., 2008, 219: 1872-1893]. We calculate the dimensions of all Hochschild cohomology groups of and give the ring structure of the Hochschild cohomology ring modulo nilpotence. As a conclusion, we provide a class of counterexamples to Snashall-Solberg’s conjecture.
Key words: Hochschild cohomology; Galois covering; Koszul algebra
Bo HOU , Jinmei FAN . Hochschild cohomology of -Galois coverings of an algebra[J]. Frontiers of Mathematics in China, 2012 , 7(6) : 1113 -1128 . DOI: 10.1007/s11464-012-0215-4
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