Simple modules over Green biset functors

Mathematics – Representation Theory

Scientific paper

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Scientific paper

We present three examples of Green biset functors for which their simple
modules can be parametrized. These are particular cases of a conjecture by
Serge Bouc classifying the simple modules over a Green biset functor A, that
generalizes the classification of simple biset functors. We also prove this
conjecture under certain hypothesis for A.

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