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Tensor product of Hopf bimodules over a group


Author: Claude Cibils
Journal: Proc. Amer. Math. Soc. 125 (1997), 1315-1321
MSC (1991): Primary 18D10, 20G05, 20G10
MathSciNet review: 1371118
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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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Additional Information

Claude Cibils
Affiliation: 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
Address at time of publication: Départemente de Mathématiques, Université de Montpellier 2, F-34095 Montpellier cedex 5, France
Email: cibils@math.univ-montp2.fr

DOI: https://doi.org/10.1090/S0002-9939-97-03727-1
Received by editor(s): July 27, 1995
Received by editor(s) in revised form: December 1, 1995
Additional Notes: Supported by University of Bern and University of Grenoble
Communicated by: Ken Goodearl
Article copyright: © Copyright 1997 American Mathematical Society