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Tensor product of Hopf bimodules over a group |
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| Authors: | Claude Cibils |
| Institution: | Mathematisches Institut, Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland - Institut Fourier, Laboratoire de Mathématiques, URA 188 du CNRS, BP 74, F-38402 St. Martin d'Hères cedex, France |
| Abstract: | We describe the monoidal structure of the category of Hopf bimodules of a finite group and we derive a surjective ring map from the Grothendieck ring of the category of Hopf bimodules to the center of the integral group ring. We consider analogous results for the multiplicative structure of the Hochschild cohomology. |
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