The Hecke algebra of a Frobenius P-category

  title={The Hecke algebra of a Frobenius P-category},
  author={Lluis Puig},
  journal={arXiv: Group Theory},
  • L. Puig
  • Published 6 January 2011
  • Mathematics
  • arXiv: Group Theory
We introduce a new avatar of a Frobenius P-category F in the form of a suitable sub-ring H_F of the double Burnside ring of P - called the Hecke algebra of F - where we are able to formulate the generalization to a Frobenius P-category of the Alperin Fusion Theorem, the "canonical decomposition" of the morphisms in the exterior quotient of a Frobenius P-category restricted to the selfcentralizing objects as developed in the chapter 6 of [4], the "basic P X P-sets" in the chapter 21 of [4], and… 
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