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Published in:
2016 | OriginalPaper | Chapter
On p-adic Colligations and ‘Rational Maps’ of Bruhat–Tits Trees
Author : Yury A. Neretin
Published in: Geometric Methods in Physics
Publisher: Springer International Publishing
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Consider matrices of order k+N over p-adic field determined up to conjugations by elements of GL(N) over p-adic integers. We define a product of such conjugacy classes and construct the analog of characteristic functions (transfer functions), they are maps from Bruhat–Tits trees to Bruhat–Tits buildings.We also examine categorical quotient for usual operator colligations.