Inducing native Mackey functors to biset functors

• Olcay Coşkun ^[1]
  1. [1] Boğaziçi University

     Boğaziçi University

     Turquía

     
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 6 (June 2015), 2015, págs. 2359-2380
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2014.09.004
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• Resumen

  • In this paper, we describe the induction functor from the category of native Mackey functors to the category of biset functors for a finite group G over an algebraically closed field k of characteristic zero. We prove two applications of this description. As the first application, we exhibit that any projective biset functor over k is induced from a (rational) virtual native Mackey functor. The second application is the explicit description of the projective indecomposable biset functors parameterized by simple groups.