Hochschild cohomology of some quantum complete intersections
Journal article, Peer reviewed
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Original versionJournal of Algebra and its Applications. 2018, 17 (11), . 10.1142/S0219498818502158
We compute the Hochschild cohomology ring of the algebras A = kX, Y /(Xa,XY − qY X, Y a) over a field k where a ≥ 2 and where q ∈ k is a primitive ath root of unity. We find the dimension of HHn(A) and show that it is independent of a. We compute explicitly the ring structure of the even part of the Hochschild cohomology modulo homogeneous nilpotent elements.