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Convexity in a masure. (arXiv:1710.09272v2 [math.GR] UPDATED)
来源于:arXiv
Masures are generalizations of Bruhat-Tits buildings. They were introduced to
study Kac-Moody groups over ultrametric fields, which generalize reductive
groups over the same fields. If A and A are two apartments in a building, their
intersection is convex (as a subset of the finite dimensional affine space A)
and there exists an isomorphism from A to A fixing this intersection. We study
this question for masures and prove that the analogous statement is true in
some particular cases. We deduce a new axiomatic of masures, simpler than the
one given by Rousseau. 查看全文>>