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AFFINE TWIN BUILDINGS

Published online by Cambridge University Press:  25 September 2003

MARK RONAN
MARK RONAN
Affiliation:
Mathematics Department, University of Illinois, 851 S. Morgan, mc249, Chicago, IL 60607, USA
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Abstract

This research was partially supported by the National Security Agency. It is well known from work of Bruhat and Tits that an affine building has a spherical building at infinity. The paper studies the structure at infinity for an affine {\em twin} building. It is shown that the twinning restricts the structure at infinity in a natural way, producing two smaller spherical buildings that are canonically isomorphic to one another. In the process it is shown that to each wall and panel of these buildings at infinity is attached a twin tree.

Keywords

51B9920G99
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 461 - 476
Copyright
The London Mathematical Society 2003

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