A note on potential diagonalizability of crystalline representations

Let be a finite unramified extension, the Galois group . We show that all crystalline representations of with Hodge-Tate weights are potentially diagonalizable.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000342436000015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701MathematicsSCI(E)1ARTICLEgaohui@math.pku.edu.cn; tongliu@math.purdue.edu1-2481-48736