Hochschild cohomology ring of a maximal order of the quaternion algebra

Takao Hayami
2012 Tsukuba Journal of Mathematics  
We give an e‰cient bimodule projective resolution of a maximal Z-order L of the ordinary quaternion algebra over Q, and therefore we determine the ring structure of the Hochschild cohomology of L by calculating the Yoneda products using this resolution. 2000 Subject Classification: 16E40.
doi:10.21099/tkbjm/1341951748 fatcat:bvmes5n5fnhhzlf52omen23oei