Hochschild Cohomology of Quiver Algebras Defined by Two Cycles and a Quantum-Like Relation II |
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| Authors: | Daiki Obara |
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| Institution: | 1. Department of Mathematics , Tokyo University of Science , Shinjuku-ku , Tokyo , Japan d_obara@rs.tus.ac.jp |
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| Abstract: | We consider quiver algebras A q 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 A q and give necessary and sufficient conditions for A q to have the finitely generated Hochschild cohomology ring. |
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| Keywords: | Finiteness conditions Hochschild cohomology Quantum-like relation |
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