Abstract
Consider an affine Bruhat-Tits building Lat n of type An−1 and the complex distance in Lat n, i.e., the complete system of invariants of a pair of vertices of the building. An element of the Nazarov semigroup is a lattice in the duplicated p-adic space ℚ np ⊕ ℚ np . We investigate the behavior of the complex distance with respect to the natural action of the Nazarov semigroup on the building. Bibliography: 18 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 325, 2005, pp. 163–170.
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Neretin, Y.A. On compression of Bruhat-Tits buildings. J Math Sci 138, 5722–5726 (2006). https://doi.org/10.1007/s10958-006-0340-2
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DOI: https://doi.org/10.1007/s10958-006-0340-2