I want some reference to learn basic things about Hodge-Tate decomosition, and what back ground I need.
What is a Hodge-Tate decomposition of an algebraic group?
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reference-request
algebraic-geometry
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0Yes, Edvin's link is very relevant: it is to Tate's original paper on Hodge--Tate decompositions for Tate modules of $p$-divisible groups. On the other hand, the theory has developed a lot since then, and so it is a bit of a distance from Tate's original article to what you are asking about. I can try to write some kind of answer when I have more time. Regards, – 2011-09-06