Common hyperbolic bases for chains of alternating or quadratic lattices
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We give a short and purely bilinear proof of the fact that two chains of p-elementary lattices with quadratic form or alternating bilinear form have common hyperbolic bases. This fact, which is useful for the study of Bruhat–Tits buildings, has been proven before with different methods by Abramenko and Nebe and by Frisch.
Mathematics Subject Classification11E95 20G25 11E57
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