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Cohomology of groups and splendid equivalences of derived categories

Published online by Cambridge University Press:  26 November 2001

ALEXANDER ZIMMERMANN
ALEXANDER ZIMMERMANN
Affiliation:
CNRS et Faculté de Mathématiques; Université de Picardie; 33 rue St Leu, 80039 Amiens Cedex, France. e-mail: [email protected]
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Abstract

In an earlier paper we studied the impact of equivalences between derived categories of group rings on their cohomology rings. Especially the group of auto-equivalences TrPic(RG) of the derived category of a group ring RG as introduced by Raphaël Rouquier and the author defines an action on the cohomology ring of this group. We study this action with respect to the restriction map, transfer, conjugation and the local structure of the group G.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 131 , Issue 3 , November 2001 , pp. 459 - 472
Copyright
© 2001 Cambridge Philosophical Society

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