Published January 1, 2018 | Version v1
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Fibered biset functors

  • 1. Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
  • 2. Bogazici Univ, Dept Math, TR-34342 Istanbul, Turkey

Description

The theory of biset functors, introduced by Serge Bouc, gives a unified treatment of operations in representation theory that are induced by permutation bimodules. In this paper, by considering fibered bisets, we introduce and describe the basic theory of fibered biset functors which is a natural framework for operations induced by monomial bimodules. The main result of this paper is the classification of simple fibered biset functors. (C) 2018 Elsevier Inc. All rights reserved.

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