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arXiv math/0205038math.GR
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Kac-Moody型拓扑群、Fuchsian孪生及其格

Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices

Bertrand Remy, Mark Ronan

摘要:

研究了一类作用于建筑物的全不连通的群,其中包括某些Kac-Moody群.我们建筑的单元是由直角多边形平铺的双曲平面。我们讨论了线性性质的群体,以及与半单群在局部域的正特征的类比。寻找反例,以这种类比导致建设牟方孪生“与几个基域“。

英文摘要:

This paper deals with a class of totally disconnected groups acting on buildings, among which are certain Kac-Moody groups. The apartments of our buildings are hyperbolic planes tiled by right-angled polygons. We discuss linearity properties for the groups, as well as an analogy with semisimple groups over local fields of positive characteristic. Looking for counter-examples to this analogy leads to the construction of Moufang twinnings "with several ground fields".

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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