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Hodge–Tate module
In mathematics, a Hodge–Tate module is an analogue of a Hodge structure over p-adic fields. introduced and named Hodge–Tate structures using the results of on p-divisible groups.
==Definition==
Suppose that ''G'' is the absolute Galois group of a ''p''-adic field ''K''. Then ''G'' has a canonical cyclotomic character χ given by its action on the ''p''th power roots of unity. Let ''C'' be the completion of the algebraic closure of ''K''. Then a finite-dimensional vector space over ''C'' with a semi-linear action of the Galois group ''G'' is said to be of Hodge–Tate type if it is generated by the eigenvectors of integral powers of χ.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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