Cohomological reduction by split pairs |
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Authors: | Luca Diracca Steffen Koenig |
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Institution: | a Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Via G. Belzoni, 7, 35131 Padova, Italy b Mathematisches Institut der Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany |
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Abstract: | A new method is developed to compare cohomology in module categories of different rings. This method does in general not produce isomorphisms, but surjective (or injective) maps between extension groups of modules over the two rings involved. Applications of this method are given to abstract problems—we recover and extend results on the strong no loops conjecture—and to algebras naturally coming up in invariant theory—we relate the cohomology of Brauer algebras with that of various symmetric groups. |
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Keywords: | 16A62 18E30 20J05 |
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