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T1 - LOCALLY ANALYTIC VECTORS AND OVERCONVERGENT (phi, tau)-MODULES
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UR - http://hdl.handle.net/10138/338254
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A1 - Gao, Hui; Poyeton, Leo
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Y1 - 2021
LA - eng
AB - Let p be a prime, let K be a complete discrete valuation field of characteristic 0 with a perfect residue field of characteristic p, and let G(K) be the Galois group. Let pi be a fixed uniformizer of K, let K-infinity be the extension by adjoining to K a system of compatible p(n) th roots of pi for all n, and let L be the Galois closure of K-infinity. Using these field extensions, Caruso constructs the (phi, tau)-modules, which classify p-adic Galois representations of G(K). In this paper, we st...
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KW - locally analytic vectors; overconvergence; (phi, tau)-modules; UNITARY PRINCIPAL SERIES; P-ADIC REPRESENTATION; NORM FIELD; EXTENSIONS; 111 Mathematics
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