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arXiv · 1201.4245

Descent of affine buildings - I. Large minimal angles

Bernhard Mühlherr·Koen Struyve·Hendrik Van Maldeghem
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Abstract

In this two-part paper we prove an existence result for affine buildings arising from exceptional algebraic reductive groups. Combined with earlier results on classical groups, this gives a complete and positive answer to the conjecture concerning the existence of affine buildings arising from such groups defined over a (skew) field with a complete valuation, as proposed by Jacques Tits. This first part lays the foundations for our approach and deals with the `large minimal angle' case.

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Bernhard Mühlherr, Koen Struyve, Hendrik Van Maldeghem. 2012-10-23. Descent of affine buildings - I. Large minimal angles. https://arxiv.org/abs/1201.4245

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