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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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PB  -  
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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