Coefficient Systems on the Bruhat-Tits Building and Pro-p Iwahori-Hecke Modules

Let G be the group of rational points of a split connected reductive group over a non-Archimedean local field of residue characteristic p, says Kohlhaase, and let I be a pro-p Iwahori subgroup of G and let R be a commutative quasi-Frobenius ring. So, if H = R\G/I denotes the pro-p Iwahori-Hecke algebra of G over R, he clarifies the relation between the category of H-modules and the category of G-equivariant coefficient systems on the semisimple Bruhat-Tits building of G.

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