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Feb 18, 2017 at 21:01 vote accept Bilateral
Feb 18, 2017 at 20:52 comment added Bilateral Thanks for the comments. I was aware of the terminology, but I wanted to simplify the question so I just defined the complext type to mean both. I will edit it accordingly.
Feb 18, 2017 at 20:49 comment added Mikhail Borovoi @nfdc23: Yes, I have noticed this, but he can learn the standard terminology form Serre's book or any other book.
Feb 18, 2017 at 20:42 comment added nfdc23 The OP is using the terminology "complex type" with a meaning different from the usual one (he only asks that $\mathbf{C}$ occur inside the endomorphism algebra over $\mathbf{R}$, not that it coincides; i.e., quaternionic cases are also being called "complex type" by him).
Feb 18, 2017 at 20:39 history answered Mikhail Borovoi CC BY-SA 3.0