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I would like to know if there is any difference between
(1) an algebraic Hecke character
(2) a Hecke character
(3) a Grössencharakter
All of the above in the setting of ellitpic curves with complex multiplication. Thanks!

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It is not clear what that means "in the setting of elliptic curves with CM". –  Marc Palm Jul 3 '13 at 9:47
    
What I meant to say was that in elliptic curves, we have associated grossencharacters and hecke characters. So the question is: are they different? Or are they just different names for the same thing? –  BlackAdder Jul 3 '13 at 9:51

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up vote 1 down vote accepted

Grossencharacters and Hecke characters are different names for the same thing.

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