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arxiv: 1708.03707 · v1 · pith:SAWXFNXCnew · submitted 2017-08-11 · 🧮 math.RT

Bounded contractions for affine buildings

classification 🧮 math.RT
keywords affinebuildingschamberrefinedstructurevertexarbitrarybounded
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We consider affine buildings with refined chamber structure. For each vertex in the refined chamber structure we construct a contraction, based at the vertex, that is used to prove exactness of Schneider-Stuhler resolutions of arbitrary depth.

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