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!



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


