HOCHSCHILD COHOMOLOGY OF QUIVER ALGEBRAS DEFINED BY TWO CYCLES AND A QUANTUM-LIKE RELATION II

摘要

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.