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114302 |
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|a Yalçın, Ergün
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|a Massachusetts Institute of Technology. Department of Mathematics
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|a Reeh, Sune Nikolaj Precht
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|a Reeh, Sune Nikolaj Precht
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|a Representation rings for fusion systems and dimension functions
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|b Springer Berlin Heidelberg,
|c 2018-03-27T13:35:53Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/114302
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|a We define the representation ring of a saturated fusion system F as the Grothendieck ring of the semiring of F-stable representations, and study the dimension functions of F-stable representations using the transfer map induced by the characteristic idempotent of F. We find a list of conditions for an F-stable super class function to be realized as the dimension function of an F-stable virtual representation. We also give an application of our results to constructions of finite group actions on homotopy spheres.
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|a Danish Council for Independent Research (DFF-4002-00224)
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|a en
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|a Article
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|t Mathematische Zeitschrift
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