Abstract
We give an efficient bimodule projective resolution of a maximal Z-order Λ of the ordinary quaternion algebra over Q, and therefore we determine the ring structure of the Hochschild cohomology of Λ by calculating the Yoneda products using this resolution.
Citation
Takao Hayami. "Hochschild cohomology ring of a maximal order of the quaternion algebra." Tsukuba J. Math. 36 (1) 111 - 120, July 2012. https://doi.org/10.21099/tkbjm/1341951748
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