Hochschild cohomology of sub( )nGalois coverings of an algebra

We consider the sub( )nGalois covering Lambda sub( )nof the algebra A introduced by F. Xu [Adv. Math., 2008, 219: 1872-1893]. We calculate the dimensions of all Hochschild cohomology groups of Lambda sub( )nand give the ring structure of the Hochschild cohomology ring modulo nilpotence. As a conclus...

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Bibliographic Details
Published in:Frontiers of mathematics in China 2012-12, Vol.7 (6), p.1113-1128
Main Authors: Hou, Bo, Fan, Jinmei
Format: Article
Language:English
Subjects:
Algebra
China
Covering
Coverings
Mathematical analysis
Ring structures
Rings (mathematics)
Online Access:Get full text
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Summary:We consider the sub( )nGalois covering Lambda sub( )nof the algebra A introduced by F. Xu [Adv. Math., 2008, 219: 1872-1893]. We calculate the dimensions of all Hochschild cohomology groups of Lambda sub( )nand 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.
ISSN:1673-3452
1673-3576
DOI:10.1007/s11464-012-0215-4