Affine Twin Buildings |
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Authors: | Ronan Mark |
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Affiliation: | Mathematics Department, University of Illinois 851 S. Morgan, mc249, Chicago, IL 60607, USA |
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Abstract: | It is well known from work of Bruhat and Tits that an affinebuilding has a spherical building at infinity. The paper studiesthe structure at infinity for an affine twin building. It isshown that the twinning restricts the structure at infinityin a natural way, producing two smaller spherical buildingsthat are canonically isomorphic to one another. In the processit is shown that to each wall and panel of these buildings atinfinity is attached a twin tree. |
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