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Descent of affine buildings - I. Large minimal angles

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arxiv 1201.4245 v2 pith:ETJA6WLE submitted 2012-01-20 math.MG math.CO

Descent of affine buildings - I. Large minimal angles

Bernhard M\"uhlherr , Koen Struyve , Hendrik Van Maldeghem This is my paper
classification math.MG math.CO
keywords affinebuildingsgroupsarisingcompleteexistencelargeminimal
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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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