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Hochschild cohomology ring modulo nilpotence of a one point extension of a quiver algebra defined by two cycles and a quantum-like relation
Received date: 27 Oct 2015
Accepted date: 23 Feb 2016
Published date: 30 Aug 2016
Copyright
We consider a one point extension algebra B of a quiver algebra Aq over a field k defined by two cycles and a quantum-like relation depending on a nonzero element q in k. We determine the Hochschild cohomology ring of B modulo nilpotence and show that if q is a root of unity, then B is a counterexample to Snashall-Solberg’s conjecture.
Daiki OBARA . Hochschild cohomology ring modulo nilpotence of a one point extension of a quiver algebra defined by two cycles and a quantum-like relation[J]. Frontiers of Mathematics in China, 2016 , 11(4) : 1003 -1015 . DOI: 10.1007/s11464-016-0553-8
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