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Lattice chain models for affine buildings of classical type

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Abstract.

A concrete lattice chain model for the buildings of the classical groups over non archimedean complete skew fields is given. The building axioms are proved in a uniform way using hereditary orders with involution instead of lattice chains.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, 33501 Bielefeld, Germany (e-mail: abramenk@mathematik.uni-bielefeld.de) , , , , , , DE

    Peter Abramenko

  2. Abteilung Reine Mathematik, Universität Ulm, 89069 Ulm, Germany (e-mail: nebe@mathematik.uni-ulm.de) , , , , , , DE

    Gabriele Nebe

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  1. Peter Abramenko
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  2. Gabriele Nebe
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Received: 16 December 1999 / Revised version: 12 July 2001 / Published online: 18 January 2002

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Abramenko, P., Nebe, G. Lattice chain models for affine buildings of classical type. Math Ann 322, 537–562 (2002). https://doi.org/10.1007/s002080200004

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  • DOI: https://doi.org/10.1007/s002080200004

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