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arXiv 1201.4245math.MGmath.CO
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仿射建筑物的下降- I。大极小角

Descent of affine buildings - I. Large minimal angles

Bernhard Mühlherr, Koen Struyve, Hendrik Van Maldeghem

摘要:

在这两部分的文件中,我们证明了仿射建筑物所产生的例外代数约化群的存在性结果。结合早期的结果典型群,这给出了一个完整的和积极的答案猜想存在的仿射建筑物所产生的这种群体定义在一个(斜)领域与一个完整的估值,提出的雅克山雀。这第一部分奠定了基础,我们的方法和处理的“大最小角度”的情况下。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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