Affine twin R-buildings

نویسندگان

Koen Struyve

Hendrik Van Maldeghem

چکیده

In this paper, we define twinnings for affine R-buildings. We thus extend the theory of simplicial twin buildings of affine type to the non-simplicial case. We show how classical results can be extended to the non-discrete case, and, as an application, we prove that the buildings at infinity of aMoufang twin R-building have the induced structure of aMoufang building. The latter is not true for ordinary ‘‘Moufang’’ R-buildings. © 2010 Elsevier B.V. All rights reserved.

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