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arXiv · 1301.5453

On $p$-adic colligations and 'rational maps' of Bruhat-Tits trees

Yury A. Neretin
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Abstract

Consider matrices of order $k+N$ over $p$-adic field determined up to conjugations by elements of $GL$ 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.

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Yury A. Neretin. 2013-01-23. On $p$-adic colligations and 'rational maps' of Bruhat-Tits trees. https://doi.org/10.1007/978-3-319-31756-4_14

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